# Geometric progressio

If the fifth term of a g.p. is 81 and second term is 24, find the g.p.

1. 👍
2. 👎
3. 👁
the fifth term of a g.p. is 81 ---> ar^4 = 81
second term is 24 -----> ar = 24

divide them:
(ar^4)/(ar) = 81/24
r^3 = 27/8
r = 3/2

then in ar=24
(3/2)a = 24
a = 16

the GP is
16, 24, 36, 54, 81, ...

1. 👍
2. 👎

1. 👍
2. 👎
3. Very good

1. 👍
2. 👎
4. thanks

1. 👍
2. 👎
5. Super

1. 👍
2. 👎
6. 😀😁
Thank you so much

1. 👍
2. 👎
7. Thanks sir

1. 👍
2. 👎
8. Superb

1. 👍
2. 👎
9. Very good thnx👍👍👍

1. 👍
2. 👎
10. Thanks for ur help

1. 👍
2. 👎

## Similar Questions

1. ### Math

The sixth term of an A.P. is 5 times the first term and the eleventh term exceeds twice the fifth term by 3 . Find the 8th term ?

2. ### Mathematics

If the 8th term of an AP is 36 and the 16th term is 68. Find: a) the first term b) the common difference c) The 20th term

3. ### Math

The nth term of an A.P. Is 3 times the 5th term.(a)find the relationship between a and d.(b)prove that the 8th term is 5times the 4th term.

4. ### math

the 6th term of A.P. is 5 times the fifth term and the 11th term is exceeds twice the fifth term by three.find the 8th term

1. ### arithmetic

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

2. ### math

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

3. ### MATH

THE 14TH TERM OF AP IS 96 WHILE THE 25TH TERM IS 173 FIND THE A.19TH TERM B.SUM OF 13TH AND 56TH TERM

4. ### math

in an AP the 10th term is 54 and 5th term is 4 times the 2nd term . Find the 1st term 'a' and common difference 'd'

1. ### maths

The 12th term of exceeds the 3rd term by 36 of an a.p If it's 16th term is 64 find first term and common difference