80.9k views
5 votes
20 POINTS PLEASE HELP FAST

20 POINTS PLEASE HELP FAST-example-1
User Kkirsche
by
7.4k points

2 Answers

2 votes

Answer:

29,524

Explanation:

This is a geometric sequence; notice how each new term is 3 times the previous term. Thus, a(n) = 1 · 3^(n-1). The 10th term is a(10) = 3^(9) = 19683.

a(4) = 27 (given)

a(5) = 81 (calculated)

a(6) = 243

a(7) = 729

a(8) = 2107

a(9) = 6561

a(10) = 19683 (previously calculated)

So the sum of the first 10 terms is 29,524.

1 + 3 + 9 + 27 + 81 + ... + 6561 + 19683 =

User Marscher
by
8.3k points
6 votes

The answer is -- 29,524

User Mahesh Guruswamy
by
8.4k points