Question

What is the explicit formula for this sequence -9,-3,3,9,15,...? A) aₙ=(-9)+(n-1)6 B) aₙ=6+(n-1)(-9) C) aₙ=(-9)+(n-1)(-6) D) aₙ=21+(n-1)6

Answer 1

The correct explicit formula for the sequence -9,-3,3,9,15,... is A) aₙ = (-9) + (n-1) * 6, based on its first term and common difference of 6.

Step-by-step explanation:

To find the explicit formula for the sequence -9,-3,3,9,15,..., we need to observe the pattern in the succession of numbers. The common difference between consecutive terms is 6. Therefore, the formula will have the form an = first term + (n-1) * common difference.

Given the first term is -9 and the common difference is 6, the formula is an = (-9) + (n-1)*6.

Comparing options A) through D), the correct explicit formula is:

A) an = (-9) + (n-1) * 6