87.5k views
0 votes
Find the sum of the first 15 terms of 2 + 6 + 18 + 54 + ...​

1 Answer

7 votes

S_n = n(first term + a_n)/2

n = 15

S_15 = 15(2 + a_n)/2

We need a_n.

a_n = first term + d(n - 1)

a_n = 2 + d(15 - 1)

1. Find d.

2. Plug d into expression to find a_n.

3. After finding a_n, plug back into

S_15 = 15(2 + a_n)/2 to find the sum of the first 15 terms.

Take it from here.

User BlackHawk
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.