Geometric progression

Q1. The sum of first three terms of a G.P. is 39/10 and their product is 1. Find the common ratio and the terms.

Q2. The sum of first three terms of a geometric sequence is 13/12​ and their product is −1. Find the common ratio and the terms

Ans: 3/4, -1, 4/3 or 4/3, -1, 3/4

Q3. If  n^th term of the G.P 3, 6, 12, …. is 192, then what is the value of n?

Ans: 7

Q4. 5^th term and 3^rd term of a G.P is 256 and 16 respectively. Find its  8^th term.

Ans: 16384

Q5. The sum of first two terms of GP is-1/64 and sum of first three terms is 3/64. What is the seventh term?

Ans: 1

Q6. If 7th term of a G.P. is 8 times the 4th term, find the common ratio of the G.P.

Ans: 2

Q7. Insert three geometric means between 6 and 54.

Ans: 6√3, 18, 18√3.

Q8. If 2, 4, 8,…., is the GP, then find its 10th term.

Ans: 1024

Q9. Find the number of terms in the geometric progression 6, 12, 24, …, 1536.

Ans: 9

Q10. Find the sum to n terms of the sequence, 8, 88, 888, 8888…