The sum of the first three terms of a geometric sequence is 49/ 32 and the sum of the next three terms is 49/ 256 . Find the common ratio and the first term of the sequence?
 👍
 👎
 👁
 ℹ️
 🚩
1 answer

a(1r^3)/(1r) = 49/32
a(1r^6)/(1r)  40/32 = 49/256
a(1r^3)/(1r) = 49/32
a(1r^6)/(1r) = 441/256
divide and you have
(1r^3)/(1r^6) = 8/9
solve for r (it's just a quadratic in r^3) and then you can find a. 👍
 👎
 ℹ️
 🚩
answered by oobleck
Answer this Question
Related Questions

math
the second term of geometric sequence is 6 and the fifth term is _48. find also, in simplified form, of the first n terms of this sequence.
 asked by Watson
 2,333 views

math
Determine whether each sequence is arithmetic or geometric. Find the next three terms. 1. 14, 19, 24, 29, . . . (1 point) geometric, 34, 39, 44 arithmetic, 32, 36, 41 arithmetic, 34, 39, 44 *** The sequence is neither geometric nor arithmetic. 2. –4, 8,
 asked by TTR+S<3
 25,043 views

math
The 1st,5th,13th term of an arithmetic sequence are the first 3 terms of geometric sequence with a common ratio of 2. If the 21st term of the arithmetic sequence is 72, calculate the sum of the first 10 terms of the geometric sequence.
 asked by zack
 2,427 views

Maths
In A Geometric Sequence The 3rd Term Is 24 And The 5th Term Is 3. Write Down The First Four Terms In The Sequence.
 asked by Albert
 1,378 views

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.
 asked by Tara
 4,439 views

Algebra 2
Describe an infinite geometric series with a beginning value of 2 that converges to 10. What are the first four terms of the sequence? a{1} = first term of series ∞ Infinite Sum = ∑ a{1} • r^(n – 1) = a{1} ⁄ (1 – r) ... for any geometric series
 asked by Ke$ha
 5,510 views

plz sequence sir steve reiny bob damon i need u
The three real,distint and nonzero 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
 asked by pooo
 741 views

Math Help Please? (check my work?)
1. Find the next three terms in the sequence. 3, 12, 21, 30, . . . (1 point) 40, 50, 60 *** 38, 46, 54 39, 48, 57 36, 32, 39 2. Identify the sequence as arithmetic, geometric, or neither. 1.6, 0.8, 0.4, 0.2, . . . (1 point) arithmetic geometric *** neither
 asked by Annaleigh
 38,813 views

math
Find the sequence of the first five partial sums S1, S2, S3, S4, and S5 of the geometric sequence by adding terms. 9, 12, 16, 64/3, 256/9,... S1 = S2 = S3 = S4 = S5 =
 asked by Krystal
 5,886 views

Can someone help me?!
The 1st, 5th and 13th terms of an arithmetic sequence are the first three terms of a geometric sequence with a common ratio 2. If the 21st term of the arithmetic sequence is 72, calculate the sum of the first 10 terms of the geometric sequence.
 asked by Jm
 4,013 views

math
The sum of all five terms of an arithmetic sequence is 55. Find the sum of the first three terms of the sequence if the sum of the last three is 48.
 asked by asd
 1,976 views

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
 asked by la bellgoss
 1,149 views

Math
1. Find the common ratio and the 7th term of the sequence 2/9, 2/3, 2, 6, 18, ..... 2. The 3rd and 5th terms of a geometric sequence are 2 and 1/2 respectively. What is the first term? 3. Find the geometric mean between: a. 1/2 and 1/3 b. sqrt5  sqrt2
 asked by Erin
 1,601 views

algebra
I have 3 questions I need help with. 1) what is the 15th term of the sequence 81,27,9,... 2) what is a possible value for the missing term of the geometric sequence 39,_,975,_ 3) what is the sum of the finite arithmetic series (5)+0+5+10+..+65
 asked by lee
 3,184 views

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
 asked by Lucas
 1,759 views

mathematics
The fifth ninth and sixteenth terms of a linear sequence ( ap) are consecutive terms of an exponential sequence 1 find the common difference of the linear sequence in terms of the 1st term 2 show that the 21st 37th and 65th terms of the linear sequence are
 asked by oluwatofunmi
 2,099 views

Maths
"The sum of an infinite geometric sequence is 27. The second term of the sequence is 6. Find the possible values of r." I made a formula 'u1=6/r' using the info. given above, and I was going to insert it into the formula for the sum of an infinite
 asked by Carla
 1,078 views

maths
the sum of the first nine terms of an arithmetic sequence 216. The 1st, 3rd and 7th terms form the first three terms of a geometric sequence therefore find the common difference
 asked by Anonymous
 972 views

Math
20,24,28,32,48 is this sequence arithmetic geometric or neither. If is arithmetic or geometric state the common difference or common ratio. Write the next three terms of the sequence
 asked by Amaya
 599 views

Maths
An arithmetic and a geometric sequence have the same first terms.(2)....and the same second term say X..The sum of the first 3 terms of the arithmetic sequence equals to the third term of the geometric sequence.Calculate the first 3 terms of each sequences
 asked by Lucas
 923 views
Still need help?
You can ask a new question or browse existing questions.