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Find the 4th term of the geometric progression whose first term is 64 and common multiple is 1/2.

Find the 4th term of the geometric progression whose first term is 64 and common multiple is 1/2. Correct Answer 8

Given:

Geometric progression whose first term is 64 and common multiple is 1/2

Formula used:

nth term of geometric progression (G.P.) = a × rn-1, where a = first term and r = common multiple

Calculation:

a = 64, r = 1/2

4th term = 64 × 4-1

⇒ 64 × 3

⇒ 64 × 1/8

⇒ 8

∴ the 4th term in progression is 8

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