Question

Write an explicit and a recursive formula for each sequence. -32,-20,-8,4,16, . . . . . .

Answer 1

an=a1+d(n−1)  is the explicit and a recursive formula for each sequence .

What is sequence?

See the pattern

-32-(-20) = -12

-20-(-8) = -12

-8-4 = -12

By this the explicit and a recursive formula for each sequence is  an=a1+d(n−1).

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

To learn more about arithmetic sequence from the given link:

brainly.com/question/15412619

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