From the sequence 6, 18, 54, 162, 486, 1458… solve the following.

Question

1. What is the 44th term of the sequence?
2. What is the sum of the first 20 terms of the sequence?

Answer 1

Okay, from 6, 18, 54, 162, 486, 1458…follows that the general term of the sequence is

a_n=2*3^n. So from this you can find any term, in particular, a₄₄=2*3⁴⁴

b) a₁+a₂+..+a₂₀=6(1+3+3²+---+3¹⁹) =|I guess you can find the sum|