Chapter 11 - Geometric Progression Exercise Ex. 11(B)

Question 1

Solution 1

Question 2

The fifth term of a G.P.is 81 and its second term is 24. Find the geometric progression.

Solution 2

Question 3

Solution 3

Question 4

If the first and third terms of a G.P. are 2 and 8 respectively, Find its second term.

Solution 4

Question 5

The product of 3^rd and 8^th terms of a G.P. is 243. If its 4^th term is 3, find its 7^th term.

Solution 5

Question 6

Find the geometric progression with 4^th term = 54 and 7^th term = 1458.

Solution 6

Question 7

Second term of a geometric progression is 6 and its fifth term is 9 times of its third term. Find the geometric progression. Consider that each term of the G.P.is positive.

Solution 7

Question 8

The fourth term, the seventh term and the last term of a geometric progression are 10, 80 and 2560 respectively. Find its first term, common ratio and number of terms.

Solution 8

Question 9

If the 4^th and 9^th terms of a G.P. are 54 and 13122 respectively, find its general term.

Solution 9

Question 10

The fifth, eight and eleventh terms of a geometric progression are p, q and r respectively. Show that: q² = pr

Solution 10