Question

Instructions: Given one form of a sequence, write the other form.

Recursive
an = A_n-1 -4
A1 = 15
Explicit
an
n
Check

Answer 1

The explicit formula is 15 + (n-1) -4

Explanation:

The formula for an explicit formula is an = First number of the sequence (15) + (n-1)(times the amount of integers separating two different sequential numbers) which is -4.

For instance, since 15 is the first number, it will be a1 or 15. Next will be + (n-1) which is the same for every explicit sequence and the multiplier will be the difference between each number, which is -4 in the recursive sequence. As a result, the answer is 15 + (n-1) -4.