Question

Find an explicit formula for the arithmetic sequence -11, -3, 5, 13, ...

a) "aₙ = -11 + 8n"
b) "aₙ = -11 + 6n"
c) "aₙ = -11 + 4n"
d) "aₙ = -11 + 2n"

Answer 1

The explicit formula for the arithmetic sequence -11, -3, 5, 13, ... is aₙ = -11 + 8n.

Step-by-step explanation:

The explicit formula for the arithmetic sequence -11, -3, 5, 13, ... is:

aₙ = -11 + 8n

To find this formula, we can observe that the sequence starts with -11 and each subsequent term increases by 8. Therefore, the common difference between terms is 8. The formula aₙ = -11 + 8n represents this pattern, where n is the position of the term in the sequence.