The product of first 5 terms of a geometric progression is 32 if the fourth term is 17 compute the - Maths - Arithmetic Progressions

Question

The product of first 5 terms of a geometric progression is 32 if
the fourth term is 17 compute the 2nd term

Varun Rawat · Accepted Answer

Let the first 5 terms of GP be a, ar, ar2, ar3 and ar4
Now, a×ar×ar2×ar3×ar4 = 32⇒ar25 = 32⇒ar2 = 2    
1Now, ar3 = 17     
2Dividing 2 by 1, we getr = 172Now, from 1, we geta × 2894 = 2⇒a = 8289Now, second term = ar = 8289 × 172 = 417

The product of first 5 terms of a geometric progression is 32.if the fourth term is 17 compute the 2nd term