# Mathematics

The second and fifth terms of a geometric progression (g.p) are 1 and 8 respectively. Find the common ratio,first term, and the eight term.

1. 👍 1
2. 👎 0
3. 👁 244
1. ar = 1
ar^4 = 8
Now divide and you get
r^3 = 8
r = 2
so, a = 1/2

T8 = ar^7 = 2^6 = 64

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Arithmetic

The sum of three consecutive terms of a geometric progression is 42, and their product is 512. Find the three terms.

2. ### 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.

3. ### 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

4. ### algebra

1. The geometric mean between the first two terms in a geometric sequence is 32. If the third term is 4, find the first term. 2. Insert a geometric mean between k and 1/k. 3. If 2 and 3 are two geometric means between m and n,

1. ### Math

Find the sum to 5 terms of the geometric progression whose first term is 54 and fourth term is 2.

2. ### math

Find the third term and the sum of the first 30 terms of the geometric progression 2, 3, ...

3. ### mathematics

In a geometric progression with terms, the sum of the first and last term is 66 and the product of the second and second last term is 128. Given that the sum of all the terms of this geometric progression is 126, find the number

4. ### Maths

a geometric progression has the second term as 9 and the fourth term as 81. find the sum of the first four terms.?

1. ### 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

2. ### Maths

A Geometric progression X has a first term of 4a and its sixth term is 256. Another Geometric progression Y has a first term of 3a and its fifth term is 48. Find the: (i) First term of X (ii) Sum of the first four terms of X

3. ### math

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

4. ### 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.