Number of results: 11,159
The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the arithmetic progression
February 2, 2015 by kudu
Math (Geometric Progression)
5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression? Note: The phrase "form an arithmetic progression" ...
June 22, 2013 by Shin
A sequence is called an arithmetic progression of the rst order if the dierences of the successive terms are constant. It is called an arith- metic progression of the second order if the dierences of the successive terms form an arithmetic progression of the rst order. In ...
May 11, 2012 by Bhupendra
5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression? Note: The phase "form an arithmetic progression" ...
May 11, 2013 by Shin
Two arithmetic progression have thd same first and last terms.the first arithmetic progression has 21 terms with a common difference of 9.How many terms has the other arithmetic progression if its common difference is 4?working and answer.thans
October 14, 2010 by William
if 1, 2, 7 and 20, respectively, are added to the first terms of an arithmetic progression, a geometric progression of four terms is obtained. find the first term and common difference of the arithmetic progression the answers are both 3 .. but i don't know the solution, ...
April 27, 2016 by Sam
1..The first 2 terms of a geometric progression are the same as the first two terms of an arithmetic progression.The first term is 12 and is greater than the second term.The sum of the first 3 terms od the arithmetic progression is 4/3 less than the sum of the first 3 terms of...
February 3, 2013 by Lucas
The numbers p,10 and q are 3 consecutive terms of an arithmetic progression .the numbers p,6 and q are 3 consecutive terms of a geometric progression .by first forming two equations in p and q show that p^2-20p+36=0 Hence find the values of p and q for which the geometric ...
July 13, 2016 by Nyasha
The 9th term of an arithmetic progression is 4+5p and the sum of the four terms of the progression is 7p-10, where p is a constant. Given that common difference of the progression is 5, find the value of p.
November 30, 2011 by Watermelon
An arithmetic progression as the same first and second terms as the geometric progression. Find the sum of the first 20 terms of the arithmetic progression. How do I do this? I tried to find the common ratio for G.P. and then substitute it to find the 20th term but, still have...
September 14, 2016 by lin
1) The first term of arithmetic progression is -20 and the sum of it's term is 250. find it's last term if the number of it's terms is 10 2) Find the fifth term from the arithmetic progression -12, -9, -6 hence find the sum of it's first fifty terms. 3) The sum of the first ...
September 25, 2011 by Amir khan
four positive integers form an arithmetic progression . if the product of the first and the last terms is 70 and the second and third terms are 88, find the first term
March 30, 2016 by Superstix
The first, second and third terms of a geometric progression are 2k+3, k+6 and k, respectively. Given that all the terms of geometric progression are positive, calculate (a) the value of the constant k (b) the sum to infinity of the progression.
June 16, 2014 by Tara
The 3rd term of an Arithmetic Progression is 10 more than the first term while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic Progression if the 7th term is seven times the first term.
May 8, 2016 by Toba
The second, third and ninth terms of an arithmetic progression forms the first, second and third terms of a geometric progression. Find the common ratio and hence the eleventh term of geometric progression.
April 20, 2015 by Mr. Bett
three numbers are in harmonic progression. If the third number were decreased by 4 they would be in arithmetic progression. If the third number were decreased by 3 they would be in geometric progression. Find the third term of the harmonic progression.
April 18, 2016 by Ginotomba
The third,sixth and seventh terms of a geometric progression(whose common ratio is neither 0 nor 1) are in arithmetic progression. Prove dat d sum of d first three is equal to d fourth term
March 6, 2015 by toyinbo
Three numbers form a geometric progression. If 4 is subtracted from the third term, then the three numbers will form an arithmetic progression. If, after this, 1 is subtracted from the second and third terms of the progression, then it will again result in a geometric ...
December 30, 2015 by Anonymous
The sum of the 3 terms in arithmetic sequence is 39.if these numbers is increased by 1,5 and 12 respectively the numbers would be in geometric progression. find the second term of the geometric progression?
January 25, 2016 by zhaina
There are two positive numbers that can be inserted between 3 and 9 such that the first three are in geometric progression while the last three are in arithmetic progression. Find the sum of those two numbers.
February 14, 2011 by Sidney
Each term of a progression is determined by adding 0.5 to the preceding term. the sum of the first 25 terms of the progression equals the square of the 25th term. calculate the possible value(s) of the first term
February 21, 2010 by Anonymous
A.P AND G.P AND A.M AND G.M
Find the arithmetic progression and sum of its first 20 terms whose arithmetic mean and geometric mean between first and third term is 10 and 8 respectively
February 16, 2016 by Rachana
I would need help with example: The sum of three consecutive terms of geometric progression is 9. The first number with no change, the second number plus 12 and the third number minus 3, are the 3 consequtive terms of arithmetic progression. What are the values of original 3 ...
January 10, 2015 by Viktoria
in an arithmetic progression the 13th term is 27 and the 7th term is three times the second term find;the common difference,the first term and the sum of the first ten terms
March 8, 2016 by gaya
the sum of first 8 terms of an arithmetic progression is 156.the ratio of its 12th term to its 68th term is 1:5.calculate the first term and the fifteenth term. please help this questions please.
December 3, 2012 by simranpreet
the 20th sum of an arithmetic progression is -7 and the sum of the first 20 terms is 620. find the 1st and 30th terms i am looking at using S20 = a(1-rn)/l-r = 620. but i am reallys tuck and think i am very wrong. please help.
November 8, 2014 by livvy
precal Arithmetic progression
The fifth term of an arithmetic series is 12 and the eighth term is 3. Find the sum of the first 6 terms and also of the first 11 terms. T5=a+4d=12 T8=a+7d=3 -3d=9 d=-3
December 2, 2014 by Jelon
The second term of an arithmetic progression I four times the fits term, and the first term is ten. Find the common difference and hence find the sum of the first 12 terms.
March 10, 2015 by Steph
I would need help with example: The three numbers are consecutive terms of arithmetic progression and the sum of their second powers is 126. The first number 3 times smaller, the second number with no change and the third number 4 times greater, are the 3 consequtive terms of ...
January 11, 2015 by Viktoria
In a sequence of four positive numbers, the first three are in geometric progression and the last three are in arithmetic progression. The first number is 12 and the last number is 452. The sum of the two middle numbers can be written as ab where a and b are coprime positive ...
July 23, 2013 by John Berkhamp
A ladder has rungs 25 cm apart.The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top.If the top and the botom rungs are two nd a half metre apart, what is the length of the wood required for the rungs
December 26, 2012 by Anonymous
A) In an arithmetic progression the sum of the first ten terms is 50 and the fifth term is three times the second term (1) Calculate the first term (2)Calculate the sum of the 20 terms
April 3, 2016 by oliver
1) In the arithmetic progression, the 8th term is twice the 4th term and the 20th term is 40. Find the common difference and the sum of the terms from the 8th to the 20th term inclusive. 2) Find the least number of terms of the AP, 1+3+5...that are required to make a sum ...
April 17, 2008 by Anonymous
the sum of the 4th and 6th terms of an A.P is 42. the sum of the 3rd and 9th terms of the progression is 52. find the first term, the common difference and the sum of the first ten terms of the progression.
March 7, 2012 by festus
Eric thinks of 2 sequences.One is geometric and the other arithmetic.Both sequences start with the number 3.The common ratio of the geometric sequence is the same as the common difference of the arithmetic sequence.If the 6-th term of the geometric sequence is 96.Find the ...
February 3, 2013 by Lucas
The third and fifth term of an arithmetic progression are 10 and-10 respectively. a)Determine the first and the common difference t3 = a + 2d = 10 t5 = a + 4d = -10 -a -2d = -10 a + 4d = -10 2d = -20 d = -10 a + 2(-10) = 10 a -20 = 10 a = 30; d = -2 b)The sum of the first 15 ...
February 8, 2015 by kudu