Question

The common ratio in a geometric series is 0.5, and the first term is 256.

Find the sum of the first 6 terms in the series.

Answer 1

504

Explanation:

S6=256[1-(0.5)⁶]/(1-0.5)

S6=256[1-(1/2)⁶]/(1/2)

S6=2⁸[(2)⁶-1]/(2⁵)

S6=2³ (64-1)

S6=8*63

S6=504

Or; S6=256+128+64+32+16+8=504