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Maths - Geometric Progression

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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" ...

Maths - Geometric Progression
Find the value of x for which the numbers x+1, x+3, x+7, are in geometric progression.

Maths
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 ...

Math
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" ...

Math
The third, fifth and seventeenth terms of an arithmetic progression are in geometric progression. Find the common ratio of the geometric progression.

Arithmetic
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.

Maths
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...

Geometric progression
The second term of a geometric progression is 12 more than the first term given that the common the ratio is half of the first term. Find the third term of the Geometric progression

plz sequence sir steve reiny bob damon i need u
The three real,distint and non-zero numbers a,b,c are such that a,b,c are in arithmetic progression and a,c,b are in geometric progression. Find the numerical value of the common ratio of the geometric progression.. Hence,find an expression in terms of a for the sum to ...

Geometric progression
The first term of an infinite geometric progression is 1 and the sum of the terms is 13, find common ratio.

math
1) If the number 1,1/3,1/9, are terms of Geometric progression. Find its common ratio 2) If the second term of Geometric progression is equal to 3, and the 5th term is equal to 81/8. Find the 7th term. 3)If x,y,3 is a Geometric progression. Find the value of x and y 4) Insert ...

maths
If the third and sixth terms of a geometric progression are 12 and 96, then find the number of terms in the progression, which are less than 2000.

MATHEMATIC DEPARTMENT
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.

mathematics :geometric progression
The first three terms of a geometric progression are K-3,2K-4,4K-3 in that order find the value of K and the sum of the first 8 terms of the progression

math C2 sequences and series
The eight,fourth and second terms of an arithmetic progression form the first three terms of a geometric series. The arithmetic progression has first term A and common difference d, and the geometric progression has first term G and common ratio r. a)Given that d is not equal ...

math
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?

math
the first, second, and third terms in the geometric progression are k,k-6, 2k-28 respectively. given that all terms of the geometric progression are positive, calculate the value of constant k.

Math
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 ...

math
1)Find the sum of the first eight terms of the Geometric progression 256,128,64,32 2)How many terms should be taken from the Geometric progression 4,12,36 for the sum to be 2188

Maths
If 192;x;y;3 form a geometric progression, calculate the value of x and y.

math
Three numbers form a geometric progression. If the second term is increased by 2, then the progression will become arithmetic and if, after this, the last term is increased by 9, then the progression will again become geometric. Find these three numbers.

Maths
Three consecutive terms of a Geometric Progression are ? 6, p and ? 32 . find the value of p.

math
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

maths!!!!!!
The 6th and 13th term of a geometric progression are 24 and 3/16 respectively.Find the sequence.

Algebra 2
In an infinite geometric progression with positive terms and with a common ratio |r|<1, the sum of the first three terms is 26/3 and the sum of the entire progression is 9. Determine the progression.

maths
how arithmetic and geometric progression can be used to solve problems related to banking business?

Maths
The sum of n numbers of geometric progression is GP=(2^n+1)-1. Find the first term and the common difference.

economics
please i wish to know the relationship between arithmetic progression and geometric progression as related to business studies

algebra
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, ...

Geometric progression
Find the sum of the geometric series 1+1/2+1/4+1/8+.....to 12th terms.

Geometric Progression
Integers a, b, c, d and e satisfy 50<a<b<c<d<e<500, and a,b,c,d,e form a geometric sequence. What is the sum of all possible distinct values of a?

maths
Find two geometric progression having: 2 as second term and 1458 as eight term,

maths
Three consecutive terms of a Geometric Progression are − 6, p and − 32 . find the value of p.

algebra
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.

uniuyo
The second and fifth term of a geometric progression are 21 and 567 respectively. Find the first term and the common ratio of the progression

math
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

Algebra
Find the sum of the first five terms of an infinite geometric progression with a common ratio |r|<1 if the second term is (4/3) and the ratio of the sum of the squares of the terms of the progression to the sum of the terms of the progression is 3:1.

GP Caluculus
The third term of a geometric progression is 16. The sum of the third term and the fouth term is 8. Find (a)the first term and the common ration of the progression (b)the sum of infinity of the progression

GP Caluculus
The third term of a geometric progression is 16. The sum of the third term and the fouth term is 8. Find (a)the first term and the common ration of the progression (b)the sum of infinity of the progression

GP Caluculus
The third term of a geometric progression is 16. The sum of the third term and the fourth term is 8.Find (a)the first term and the common ratio of the progression. (b)the sum of infinity of the progression.

math
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...

Algebra
In an infinite geometric progression with positive terms and with a common ratio |r|<1, the sum of the first three terms is (26/3) and the sum of the entire progression is 9. Determine the progression. Find the first term and common ratio

intro cal
the first 3 term of a geometric progression are k-4, 2k-4, 4k+4. what is the value of k? can someone help please! in any geometric progression any term divided by its previous term gives you the common ratio, so .... (2k-4)/(k-4) = (4k+4)/(2k-4) cross-multiply and proceed. I ...

Geometric Sequence
The product of the first five terms of a geometric progression is 32. If the fourth term is 17, compute the second term.

Hill school
The first three terms of a geometric progression are K-3,2K-4,4K-3 in that order find the value of K and the sum of the first 8 terms of the progression.

algebra
The sum of the three numbers in Arithmetic Progression is 33. If the numbers are increased by 2, 1, and 6 respectively the new numbers will be in Geometric progression. Find these numbers.

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.

Math, Series
Given that 1/(y-x), 1/2y, and 1/y-z are consecutive terms of an arithmetic progression, prove that x,y, and z are consecutive terms of a geometric progression.

Series
Given that 1/(y-x), 1/2y, and 1/y-z are consecutive terms of an arithmetic progression, prove that x,y, and z are consecutive terms of a geometric progression.

Maths
A geometric progression has a third term of 20 band sum to infinity which is three times the first term. find the first term.

math
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.

geometric progression
Find the value of k if 3,k,48are in g.p

Geometric progression
Quantities x, 8, y (x=/y) are in g.p. and x, y, -8 in a.p. Find the value of x and y.

Geometric progression
Find the sum of 8 terms of the G.P. 3,6,12,24,..... .

Geometric progression
If 1/3,a,b,c,d,e,f,g,432 are in G.P., then find the product of c and e.

math
If the sum of the first and the second terms of an infinite Geometric progression is equal to 3/8, and the sum of its term is equal to 1/2. find the common ratio of the first term of the progression

math
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 ...

math
Find the reason for the geometric progression in which a1 = 1, n = 3, S3 = 157

Geometric progression
Find the sum to the n terms: 5+55+555+.......

Geometric progression
Find the sum upto infinite: 2/5+3/5>2+2/5>3+3/5>4+2/5>5+3/5>6+.....

Geometric progression
Fin the sum of the series 1+2+4+8+....to 12 terms.

Trigonometry
The first three terms of an arithmetic progression are 1/2, x, 25. The first three terms of a geometric progression are x+1/4, 32 1/2, and y, where x and y are positive numbers. Find the value of X and the value of Y.

Series
One sequence of alternating terms of the series 1+2+3+4+5+8+... forms an arithmetic progression, while the other sequence of alternating terms forms a geometric progression. Sum the first 10 terms of each progression and hence find the sum of the first 20 terms of the series.

mam college
find the common ratio of the geometric progression ¼ ½ 1—2

sas academy
find the common ratio of geometric progression ¼ ½ 1–2

Geometric progression
Find the sum of series: 1+3x+9x2+27x3+...to

Geometric progression
Find the sum of the series 0.5+0.55+0.555+....to n terms.

Geometric progression
Find the sum of the series 4+44+444+....to n terms.

Geometric progression
If for a g.p. S2=8 and s4=80,find its first term and the common ratio.

Math Algebra
The first term of a geometric progression is more than the third term by 12. The fourth term is more than the second term by 4. Find: i.the first term a and the common ratio r. ii. the n'th term of the progression.

math
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 ...

math
find the sum of the first 8th term of the Geometric progression, 1,3,9,27

Geometric progression
Find the nth term and the sum to n terms of the series: 1+(1+2)+(1+2+2>2)+.....

Geometric progression
If 5th and 8th terms of a G.P. be 48 and 384 respectively. find the G.P.

Geometric progression
Express 0.54 as a rational number. sir this question answer is 6/11

maths
In the sequence: x+4y ; 2y+2 ;x ;y-1, (consisting of 4 terms) the first three terms form an arithmetric progression, while the last three tern form a geometric sequence. Calculate the values of x and y. Answer(s) can be left in surd form.

math
in a Geometric progression the sum of the first and the second terms is 90 and the sum of the second and the fourth terms is equal to 30.find the sum of the first 8th term in the progression

Algebra/Number Theory
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 ...

AP Calculus
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.

math sequenc
the nth term of the geometric progression is 3(2^n-1). how many terms are less than 200?

math
insert two numbers between 5 and 135, so that the 4 may form a geometric progression

math
P is the product ,n is the consecutive term of geometric progression, s is tje sum of their reciprocal then(S/R)n is equal a) p b) p2 c) p3 d) pn

math
find the 7th term of the geometric progression if the first and 5th terms are 16 and 9 respectively.

math
The n th term (Un) of a progression geometric is given by the formula 2(1.1)^n. Find the least value of n such that Un ≥ n

math
if k+1,2k-1,3k+1 are three consecutive terms of a geometric progression,find the possible values of the common ratio

math
k+1,2k-1,3k+1 are three consecutive terms of a geometric progression, find the possible values of the common ratio

Geometric progression
Three numbers whose sum is 15 are in A.P. If 1,4,19 be added to them respectively the resulting number are in G.P find

Geometric progression
Three numbers whose sum is 15 are in a.p. if 1,4,19 be added to them respectively the resulting number are in g.p find n

math
In Geometric progression the sum of first of three terms is 28 and the product is 512 find those numbers

math
Add the odd numbers divisible by 3 lying between 200 and 400.is arithmetic or geometric progression.

Math
If the 2nd and 5th term of a geometric progression are -6 and 48 respectively. Find the sum of the first four terms.

Geometric progression
The Product of three Consecutive terms of a G.P. is -64 and the first term is four times the third. find the number.

Geometric progression
If the continued product of three numbes in g.p. is 216 and the sum of their products in pair is 156. find the numbers.

Harmonic progression
Show that if three quantities be in any two of the three progression, a.p., g.p. And h.p., they will be also in the third progression.

trig
if sina,cosa,tana are in geometric progression then prove that cot^6a-cot^2a=1

Math
The product of three numbers in geometric progression is 1, their sum is -2/3. Find the numbers.

Geometric progression
The first term of a G.P. Is 5 and the common ratio is-2. What is the 6th term?

mathematics trignometry
if sina, cosa, tana are in geometric progression then prove that cot^6a-cot^2a=1

Math
Given a geometric progression: 0.05, 0.2, 0.8, ... Find the sum from the 5th term to the 8th term?

Math
If a, b, and c are three integers in geometric progression, prove that the number a^2+b^2+c^2 is exactly divisible by the number a+b+c.

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