1.0k views
2 votes
Find the sum of the first fifteen terms of the series:

3+6+12+24+...



Plzzzz HELP

User VdMandele
by
8.8k points

1 Answer

2 votes

Answer:

Explanation:

The given series is a geometric series because the consecutive terms differ by a common ratio. The formula for determining the sum of the first n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

a = 3

r = 6/3 = 12/6 = 2

n = 15

Therefore, the sum of the first 15 terms, S15 is

S15 = (3 × 2^(15) - 1)/2 - 1

S15 = (3 × 32767)/1

S15 = 98301

User Aloha Silver
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories