Question

Find an explicit formula for the sequencea_n that starts with a_1 =7: 7, 21, 63, 189, 567, ...

A. aₙ = 7 ⋅ 3^(n-1)
B. aₙ = 7 ⋅ 3ⁿ
C. aₙ = 7ⁿ ⋅ 3
D. aₙ = 7 ⋅ 3^(n+1)

Answer 1

The explicit formula for the given sequence is aₙ = 7 ⋅ 3^(n-1).

Step-by-step explanation:

The sequence given is 7, 21, 63, 189, 567, ...

To find an explicit formula for this sequence, we can notice that each term is obtained by multiplying the previous term by 3.

So, the explicit formula for the sequence is aₙ = 7 ⋅ 3^(n-1).