Monday

August 29, 2016
Number of results: 40,985

**Geometric Series (Algebra 2)**

I need some assistance or a formula when trying to find the first term of geometric series please! I don't understand this!!!! What is the first term of a geometric series with a summation of 289, 5 terms and a common ratio of 1/2?
*April 14, 2012 by Greg*

**Algebra 2 - Geometric Series**

I need help evaluating the geometric infinite series. It's got the double zero thing over the E thing. 00 E(-1/2)^ n-1 (n=1)
*April 29, 2009 by Kay*

**Advanced Algebra (Infinite Geometric Series)**

Convert 8.690909 . . . into a single fraction using infinite geometric series.
*November 15, 2014 by Alecx*

**Algebra**

1. Why cant you use the formula of the infinite geometric series on 1/81 + 1/27 + 1/9 + 1/3 + ..... 2. Using concepts of infinite geometric series, show that 0.9999 ..... = 1.
*September 9, 2014 by Ruby*

**Algebra II (Geometric Series)**

What is the sum of the following geometric series: 1+1/4+1/16
*June 5, 2012 by Gregory*

**algebra**

Can someone please help me with this problem? Thanks! Evaluate the infinite geometric series: 8+4+2+1+... I thought you needed to know the number of terms to evaluate, but how do you know them if it is infinite? The limit of Sn = 1 + r + r^2 + r^3 + r^4 + = 1/(1 - r) -1 < r...
*May 30, 2007 by Mercy*

**algebra(check)**

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 a.15 b.15/2 c.-15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(-1/4)n-1 on the right side a.25 b.80/3 c.16 d.does not exist answer=c 3)Find the sum of ...
*August 24, 2007 by Marissa*

**algebra**

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 a.15 b.15/2 c.-15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(-1/4)n-1 on the right side a.25 b.80/3 c.16 d.does not exist answer=c 3)Find the sum of ...
*August 23, 2007 by Marissa*

**algebra**

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 a.15 b.15/2 c.-15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(-1/4)n-1 on the right side a.25 b.80/3 c.16 d.does not exist answer=c 3)Find the sum of ...
*August 24, 2007 by Marissa*

**algebra**

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 a.15 b.15/2 c.-15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(-1/4)n-1 on the right side a.25 b.80/3 c.16 d.does not exist answer=c 3)Find the sum of ...
*August 26, 2007 by Marissa*

**CALC II**

Determine the convergence of the following series using the nth-partial sum or geometric series formula. The sum of n=1 to inifitiy 1/(9n^2+3n-2) How do I start? I'm guessing I should factor out the denominator but whats after that? It is close to a geometric series, so use ...
*June 18, 2007 by Ace*

**Algebra 2**

I need steps on how to complete this please i am so confused and lost. :( Consider the infinite geometric series x e n=1 -4(1/3) n-1. In this image, the lower limit of the summation notation is "n=1". a. Write the first four terms of the series. b. Does the series diverge of ...
*March 10, 2015 by Sammy*

**Pre-Calculus**

Q.Determine the sum of each infinite geometric series. t_1= 8 r = -2^1/2 ---------------------------------------- A.This is a divergent series because the absolute value of r is greater than 1. ---------------------------------------- Q. The first term of an infinite geometric...
*February 17, 2015 by Lucina*

**Algebra**

Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of ...
*October 29, 2006 by V*

**Math - Geometric Series**

Find the sum of the geometric series 128 - 64 + 32 - . . . to 8 terms. a) 85 b) 225 c) 86 d) 85/2 e) not possible
*December 11, 2010 by Robo123*

**Calc**

We are working on finding the intervals of convergence of power series in class. Why do we not have to test for the convergence of the endpoints for geometric series? They always seem to diverge. Is this a set rule when working with the geometric series for this type of problem?
*December 1, 2011 by Chloe*

**Math**

1/27 + 1/9 + 1/3 + ... + 81 I know the series is geometric. d = 1/3 Multiplying each by 1/3 to get the next value do i use the sum of geometric series a(1-r^n)/ 1-r
*December 12, 2014 by Tasha*

**Algebra**

Is the series 72, 48, 32,... an arithmetic or geometric series. WHat is common difference or ratio
*January 17, 2013 by Andrew*

**Algebra 2**

Describe an infinite geometric series with a beginning value of 2 that converges to 10. What are the first 4 terms of the series?
*February 19, 2015 by James*

**sum geometric series**

what is the sum of geometric infinite series 3/2+ 9/16+ 27/128+ 81/1024=.... i know the formula is S=a/(1-r) my teacher, he usually transforms into a formula of the sum series and finds out a and r.but i don't how to do that. the pattern i saw is 3/2 + 3^2/2^4 + 3^3/2^7+ 3^4/2...
*April 9, 2007 by david*

**Algebra 2**

Describe an infinte geometric series with a beginning vaule of 2 that converges to 10. What are the first 4 terms of the series? I know r=4/5 Now what do I do
*February 24, 2015 by Jaison*

**AGL 2 (Geometric Series)**

Is their a formula for finding the Sum for Geometric Series?
*February 1, 2012 by Embraced*

**Calculus**

If you have a geometric alternating series, and you prove that the series is converging by doing geometric series test, and NOT alternating series test, then does that allow you to say that the series converges ABSOLUTELY? Or should you do alternate series test also to say ...
*March 4, 2007 by Jin*

**Geometric Series**

Evaluate the geometric Series or state that it diverges lower bound k= 1 upper bound = infinity E (sum symbol) E 5(-1/6)^(5k) I know it converges but im not sure to what
*May 7, 2015 by Kate*

**Math Geometric Series**

Evaluate this geometric series: 7 + 14 + 28 + ... + 3584
*June 3, 2013 by Anonymous*

**math studies**

An arithmetic series has a first term of -4 and a common difference of 1. A geometric series has a first term of 8 and a common ratio of 0.5. After how many terms does the sum of the arithmetic series exceed the sum of the geometric series?
*September 28, 2008 by ll*

**Math**

Consider the following series: 1,2,3,4,5,10,20,40....which starts as an arithmetic series? ...but after the first five terms becomes a geometric series. Prove that any positive integer can be written as a sum of distinct numbers from the series. I know how to do the base case
*May 17, 2016 by MO*

**math**

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 A)15 B)15/2 C)-15 D)1/15 I chose A 2)Find the sum of the infinite geometric series. Sigma sign with infinity symbol above and n=1 below. To the right 20(-1/4)n-1 A)25 B)80/3 C16 D)does not exist I chose A 3)Find the...
*December 12, 2007 by Jon*

**math**

the last two tems in a geometric series are 1080 and 6480 and the sum ofthe series is 7775 what is the first term in the series
*December 18, 2011 by Heather*

**math(need 2nd opinion)**

1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 A)15 B)15/2 C)-15 D)1/15 I chose A 2)Find the sum of the infinite geometric series. Sigma sign with infinity symbol above and n=1 below. To the right 20(-1/4)n-1 A)25 B)80/3 C16 D)does not exist I chose A 3)Find the...
*December 12, 2007 by Jon*

**Math**

Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of ...
*October 28, 2006 by Vianna*

**algebra**

Okay, I was taught that if a geometric series is infinite and it diverges then it has no limit and no sum. Looking back in my notes, I found an example of finding the value for a divergent series? Is this possible? The sum of an infinite geometric progression is infinite when ...
*May 31, 2007 by Jane E.*

**algebra 3-4**

Find a1 in a geometric series for which Sn = 300, r = -3, and n = 4
*December 19, 2011 by melyssa*

**math**

sorry for before it is my first time using this website and this is the real question in a geometric series t1=23,t3=92 and the sum of all of the terms of the series is 62813. How many terms are in the series?
*June 3, 2013 by Bob*

**geometric series**

what is the nth term equation for a geometric sequence with a1 = 36 and r = 1/3
*September 13, 2010 by raven*

**algebra**

does the infinite geometric series diverge or converge? 1/7 + 1/14 + 1/28 + 1/56 +
*May 5, 2008 by jerson*

**algebra**

In a geometric series, suppose g2 = 2 and g6 = 162. What is gngn1?
*November 30, 2011 by francine*

**Algebra II**

What is the sum of the geometric series 12 E 2(1/2)^x x=0 4 0 2 3 PLEASE HELP Urgent
*May 3, 2016 by Nad*

**trig**

for the geometric series shown, state whether the series in convergent. If the series is convergent, give the sum 9 +6.3 + 4.41
*November 10, 2008 by jerson*

**Calculus**

Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3)(+/-)(1/9)(+/-)(1/27)(+/-)...(+/-)(1/3^n)(+/-)... (A) Find x and y from: x(</=)(+/-)3(+/-)1(+/-)(1/3)(+/-)...(</=)y. (B) Can you choose the signs to make the series diverge? (C) Can you choose the signs to ...
*April 21, 2010 by Megan*

**calculus**

Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3)(+/-)(1/9)(+/-)(1/27)(+/-)...(+/-)(1/3^n)(+/-)... (A) Find x and y from: x(</=)(+/-)3(+/-)1(+/-)(1/3)(+/-)...(</=)y. (B) Can you choose the signs to make the series diverge? (C) Can you choose the signs to ...
*April 22, 2010 by Megan*

**calculus**

Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3)(+/-)(1/9)(+/-)(1/27)(+/-)...(+/-)(1/3^n)(+/-)... (A) Find x and y from: x(</=)(+/-)3(+/-)1(+/-)(1/3)(+/-)...(</=)y. (B) Can you choose the signs to make the series diverge? (C) Can you choose the signs to ...
*April 22, 2010 by Megan*

**algebra II**

Determine whether the geometric series converges or diverges. 27 + 18 + 12 + 8 + . . .
*April 14, 2009 by jaz*

**Algebra 2**

5+(-5/2)+(5/4) Sn=189 Find n for the given sum if the geometric series
*May 7, 2012 by Rachel*

**Algebra 2**

What would happen to the sum of a geometric series if the ratio was 1?
*July 27, 2016 by Nina*

**Math**

I have a couple questions about the sums of geometric series. One. So the formula for the sum is t(n)=t(1)[(r^n)-1] But if my series starts at t(0), can I change the formula to t(n)=t(0)[(r^n)-1] ? Two. If, in the series, there is a different pattern in the numerator than in ...
*October 31, 2010 by Anonymous*

**calc.**

find the sum of the series of (-2)^n/3^n+1. This is an alternating series... what if we rewrite it as an= (1/3)* (-2/3)^(n) Divide any nth term by the n-1 term and see if you get a ratio term r. This might be a geometric series.
*April 17, 2007 by kelly*

**algebra need help**

Determine whether the geometric series converges or diverges. 27 + 18 + 12 + 8 + . . .
*April 14, 2009 by jaz*

**Algebra 2**

How would I find the sum of the geometric series given? 1/5 - 1/25 + 1/125
*May 12, 2012 by Greg*

**algebra 2**

find a1 for given geometric series. Sn= 405, r=3, n=4 I don't know how to start the problem
*July 22, 2014 by Isabel*

**Algebra**

Use the geometric sequence of numbers 1, 1/3, 1/9, 1/27
to find the following: Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments. Using the formula for the ...
*October 29, 2006 by Gina*

**math**

For a geometric series, S4/S8= 1/17, determine the first three terms of the series.
*January 4, 2013 by kaela*

**math**

in a geometric series t1=23,t3=92 and the sum of all of the terms of the series is 6813. How many terms are in the series
*June 3, 2013 by bob*

**math**

in a geometric series t1=23,t3=92 and the sum of all of the terms of the series is 62813. How many terms are in the series
*June 3, 2013 by jim*

**math**

in a geometric series t1=23,t3=92 and the sum of all of the terms of the series is 62 813. how many terms are in the series?
*January 12, 2014 by cathy*

**Algebra 2**

Find the sum of the first six terms of the geometric series 81 -27 +9 -... how do you work it??
*December 12, 2010 by student*

**Series and sequences**

Three numbers a,b, and c form a geometric series so that a+b+c=35 and abc=1000. Find the values of a,b,c.
*January 3, 2013 by Shaira*

**Geometric Series**

how do you convert a series into that beta stuff
*March 18, 2009 by Janet*

**Geometric series **

Find the sum of the following series : a) 1 - 1/‘Μ2 1/2 - 1/2‘Μ2 ‘to 20 terms.
*April 26, 2016 by Posul *

**Geometric series - Check my answer**

What is the first term in a geometric series with ten terms, a common ratio of 0.5 and a sum of 511.5? I got 256 as my answer. 511.5=a1[1-(.5)^10]/1-1/2 511.5=a1(1023/1024)/1/2 511.5=a1(1023/512) ----> divide by both sides 256=a1
*December 11, 2010 by Robo123*

**Geometric series**

The sum of the first five terms of a geometric series is 186 and the sum of the first six terms is 378. if the fourth term is 48, determine a(first term),r(ratio), t10, S10.
*January 6, 2013 by PJ*

**Geometric series**

please help with finding the equations to these where n= 1; which means 1 is needed to find the first number in the series 1) 5/1 + 8/1 + 1/1 + 14/1 + . . . 2) 6/5 + 9/8 + 14/11 + 21/14 + . . . 3) -6/3 - 4/4 - 2/5 - 0 + . . . 4) 9/1 + 36/4 +27/9 + 144/16 + . . . 5) 20/4 + 25/5...
*March 29, 2009 by Janet*

**Math**

If S1 = 0.7 and S2 = 2.1 in a geometric series, determine the sum of the first 12 terms in the series. Be sure to show all of your work.
*September 17, 2014 by Alex*

**trig**

for the geometric series shown, state whether the series in convergent. If the Series is convergent give its sum 9+6.3 +4.41 +... a tutor helped me earlier but how is the sum 0.7
*November 10, 2008 by jerson*

**Algebra 2**

What is the first term of a geometric series with a summation of 800, 4 terms and a common ratio of 3?
*April 11, 2012 by Greg*

**Algebra 2**

What is the first term of a geometric series with a summation of 800, 4 terms and a common ratio of 3?
*April 12, 2012 by Greg*

**Math**

which is the easies,t Arithmetic Series or a Geometric Series? and why?
*September 1, 2012 by Liz*

**Algebra 2**

What is the sum of a geometric series with first term a1= 2, a common ratio r of 2 and the number of terms, n, equal to 4.
*January 21, 2012 by Embraced*

**math**

The sum of the 1st nine terms of an arithmetic series is 216. The 1st,3rd and the 7th terms of series form the 1st three terms of a geometric series. Find the 1st term and the constant difference of the arithmetic series ?
*August 14, 2016 by mpho makua*

**Algebra 2**

What is the sum of the geometric series 10 E 6(2)^n n=1 I'm a little lost as to what I should do here. Could someone please clarify how this one is done?
*December 15, 2015 by bubblegum*

**Sequence and series**

Do you know the difference between a sequence and a series? Graph the terms of an arithmetic series. Remember the domain is the set of natural numbers, not the set of real numbers. What type function do you see? Graph the terms of a geometric series. Remember the domain is the...
*April 21, 2007 by Tony*

**Calc II**

Use the comparison or limit comparison test to decide if the following series converge. Series from n=1 to infinity of (4-sin n) / ((n^2)+1) and the series from n=1 to infinity of (4-sin n) / ((2^n) +1). For each series which converges, give an approximation of its sum, ...
*November 7, 2012 by Lauren*

**Calculus**

If S1 = 0.7 and S2 = 2.1 in geometric series, what would the sum of the first 12 terms in the series be? I tried doing this, and I got 1.16 or something :S How exactly do I do this? Please tell me what formula to use. I was using the Sn = a(rn-1)/r-1
*September 20, 2011 by Anonymous*

**math**

The 65th therm in a geometric sequence is 8000, and the 69th term is 500, find the 64th term using the geometric series sum formula
*December 18, 2011 by Poppy*

**algebra**

1)Find the sixth term of the geometric sequence for which a1=5 and r=3 a.1215 b.3645 c.9375 d.23 answer=a 2)Write an equation for the nth term of the geometric sequence -12,4,-4/3,... a.an=-12(1/3)n-1 b.an=12(-1/3)n-1 c.an=-12(-1/3)-n+1 d.an=-12(-1/3)n-1 answer=d 3)Find four ...
*August 23, 2007 by Marissa*

**algebra**

1)Find the sixth term of the geometric sequence for which a1=5 and r=3 a.1215 b.3645 c.9375 d.23 answer=a 2)Write an equation for the nth term of the geometric sequence -12,4,-4/3,... a.an=-12(1/3)n-1 b.an=12(-1/3)n-1 c.an=-12(-1/3)-n+1 d.an=-12(-1/3)n-1 answer=d 3)Find four ...
*August 24, 2007 by Marissa*

**algebra**

1)Find the sixth term of the geometric sequence for which a1=5 and r=3 a.1215 b.3645 c.9375 d.23 answer=a 2)Write an equation for the nth term of the geometric sequence -12,4,-4/3,... a.an=-12(1/3)n-1 b.an=12(-1/3)n-1 c.an=-12(-1/3)-n+1 d.an=-12(-1/3)n-1 answer=d 3)Find four ...
*August 26, 2007 by Marissa*

**mathematics**

the 1st term of arithmetic series is 2 .the 1st ,3rd and 11th terms are the first the terms of a geometric series. find the 6 terms of the arithemetic series
*March 14, 2013 by cebile*

**algebra(check)**

1)Find the sixth term of the geometric sequence for which a1=5 and r=3 a.1215 b.3645 c.9375 d.23 answer=a 2)Write an equation for the nth term of the geometric sequence -12,4,-4/3,... a.an=-12(1/3)n-1 b.an=12(-1/3)n-1 c.an=-12(-1/3)-n+1 d.an=-12(-1/3)n-1 answer=d 3)Find four ...
*August 24, 2007 by Marissa*

**math30**

The sum of the first 10 terms of the geometric sequence -4, 6, -9,..., to the nearest tenth, is; The answer is: For the geometric series a=-4, r=-1.5 or -3/2, n=10. Sn= a(r^n - 1)/r - 1 S10= -4((-1.5)^10 - 1)/-1.5 - 1 S10= 90.7 My question is from where they got r=-1.5 or -3/2...
*August 23, 2012 by alejandro*

**Algebra help PLEASE? **

14, 8, -16, 32... Arithmatic. 64, 128, 256 geometric, -64, 128, -256 geometric, -48, 64, -80*** the sequence is neither geometric nor arithmatic 81, 27, 9, 3.. aruthmatic , 0,-3,-6 geometric, 0,-3,-6 geometric, 1, 1/3, 1/9
*April 21, 2014 by Aniston*

**Calculus - - Reiny**

If S1 = 0.7 and S2 = 2.1 in geometric series, what would the sum of the first 12 terms in the series be? I tried doing this, and I got 1.16 or something :S How exactly do I do this? Please tell me what formula to use. I was using the Sn = a(rn-1)/r-1
*September 20, 2011 by Anonymous*

**Math**

1. Find the 11th term of the geometric sequence 64, -32, 16, -8,
. 2. Find the 1st term of a geometric sequence with a 10th term -1024 and r = -2. 3. Find the sum of each infinite geometric series, if possible. a. 10 + 2 + 2/5 + ..... b. 1.2 2.4 + 4.8 9.6 + ..... c. 3 ...
*October 7, 2014 by Brianna*

**Algebra 2 (Geometric Series)**

Write (2x+3y)^3 in expanded form I need a little help as far as how I would begin working this problem out.
*April 26, 2012 by Greg*

**Algebra**

I need some help! Determine whether infinite geometric series has a finite sum. If so, find the limiting value. 112+56+28+....
*April 16, 2013 by Kris*

**Algebra**

I need some help! Determine whether infinite geometric series has a finite sum. If so, find the limiting value. 112+56+28+....
*April 16, 2013 by Kris*

**calculus**

determine whether the series is convergent if so find sum it is the sum from k=1 to infinity of ((-1)^k)/(3^(k+1)) i found this series to be geometric where a=-1/9 and r=1/3 my answer was converges to 1/6
*February 21, 2008 by sarah*

**Maths - Geometric Progression**

The second term of a GP is 1/2 and the sum ti infinity of the series is 4. Find the first term and and the common ratio of the series.
*September 25, 2012 by Anonymous*

**calculus**

Another problem: determine whether the series is convergent if so find sum it is the sum from k=1 to infinity of ((-1)^k)/(3^(k+1)) i found this series to be geometric where a=-1/9 and r=1/3 my answer was converges to 1/6
*February 21, 2008 by sarah*

**math**

For the geometric series 50+48+... a. 867.373 is the approximate value of a partial sum of the series. How many terms were added to get this number? b. To what number does the serveries converge?
*May 3, 2012 by Matt*

**maths and science**

The first term of a geometric sequence is 125χ4,the last term is 2, and the sum of the associated series is 203χ4. What is the common ratio and how many terms are there in the series?
*January 20, 2016 by nitchelence*

**Pre Cal.**

Find three geometric means betwee -sqrt(2) and -4sqrt(2). A: 2, -2sqrt(2), 4 Is 6 sqrt(2)+ 6 + 3sqrt(2)+... a convergent series? A: Yes. Is 1 + 3(1/2) + 9(1/2)^2 + 27(1/2)^3 +... a divergent series? A: Yes. Are these right?
*August 13, 2009 by Jeremy*

**Maths**

The first term of the geometric sequance is 27,the last term is 8 and the sum of the series is 65.how many terms are there in the series?
*March 12, 2012 by Naledi obotseng*

**Math**

For the geometric series, S4/S8 = 1/17. Determine the first three terms of the series if the first term is 3.
*January 4, 2014 by Tom*

**Math**

The first two terms in a geometric series is 12. The sum of the first three terms of the same series is 62. Determine the first four terms of the series.
*January 8, 2014 by Tom*

**Geometric series**

The sum of the first n terms of the geometric sequence -1, -3, -9,... is -3280. Find the value of n. Express answer in simplest fractional form. 1. t1= -1 2. r = 3 3. S6 = I got -364 but it's not the right answer 4. n = I keep getting a decimal number: 18.72075441...
*May 8, 2016 by Emily J*

**Math....Please help I have a deadline for tonight!**

Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27
to find the following: b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments. Answer: Show work in ...
*November 4, 2006 by Vianna*

**algebra**

Determine whether each sequence is arithmetic or geometric. Find the next three terms. 4, 8, 16, 32, . . . A.arithmetic, 64, 128, 256 B.geometric, 64, 128, 256 C.geometric, 48, 64, 80 .DThe sequence is neither geometric nor arithmetic. I think it's B...? 81, 27, 9, 3...
*March 19, 2013 by Cassie*

**Calc**

Does 1/ln(x+1) converge or diverge? I've tried the nth term test, limit comparison test, and integral test. All I get is inconclusive. The other tests I have (geometric series, p-series, telescoping series, alternating series, and root tests) don't apply. What can I use?! As x...
*March 22, 2007 by Mischa*

**Advanced Functions**

I need help answering these questions 1. State the Common Ratio of the following Geometric sequence 3/4 , 3/10 , 3/25 , 6/125 2. In the Arithmetic Sequence below, X = ___ 100 , ___ , _X_ , 64 3. For the Geometric Sequence below, X = ___ _X_ , 48 , ___ , ___ , 6 4. Given the ...
*March 23, 2009 by Temour*