Question

The first term in a sequence is -2 and the common ratio is 3. What is the sixth term of the sequence?

Answer 1

It's the Geometric Sequence.

The n-th term of a geometric sequence with initial value a and common ratio r is given by:

$a_n=a_1\cdot r^{n-1}\ for\ n\in\mathbb{N^+}$

We have:

$a_1=-2;\ r=3;\ n=6$

Substitute:

$a_6=-2\cdot3^{6-1}=-2\cdot3^5=-2\cdot243=-486$

Answer: The sixth term is equal -486.