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.

Question

Leandro Chase

Mathematics

9 May, 17:08

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.

+5

Answers (1)

Know the Answer?

Talia Mueller · Answer 1

504

Step-by-step 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

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.

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.