Question

Given the sequence an = 10 ⋅ 3^(n - 1), what is the 6th term of the sequence?

A) 590
B) 720
C) 810
D) 900

Answer 1

`a_(6) = 10( {3}^(6 - 1) ) = 10( {3}^(5) ) = 2430`

Answer 2

To find the 6th term of the given sequence, substitute n = 6 into the formula and simplify the expression.

Step-by-step explanation:

The given sequence is defined as an = 10 ⋅ 3^(n - 1), where n represents the term number. To find the 6th term, we substitute n = 6 into the formula:

a6 = 10 ⋅ 3^(6 - 1)

a6 = 10 ⋅ 3^5

a6 = 10 ⋅ 243

a6 = 2430

Therefore, the 6th term of the sequence is 2430. The correct answer is option D) 900.