Question

Complete the recursive formula of the arithmetic sequence 13, 6, -1, -8,...13,6,−1,−8,...13, comma, 6, comma, minus, 1, comma, minus, 8, comma, point, point, point. c(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus

Answer 1

The recursive formula of the arithmetic sequence 13, 6, -1, -8,... is a(n) = 20 - 7n.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have an arithmetic sequence:

13, 6, -1, -8,...

The first term:

a = 13

The common difference:

d = 6 - 13 = -7

The recursive formula of the arithmetic sequence:

a(n) = a + (n - 1)d

a(n) = 13 + (n - 1)(-7)

a(n) = 20 - 7n

Thus, the recursive formula of the arithmetic sequence 13, 6, -1, -8,... is a(n) = 20 - 7n.

Learn more about the sequence here:

brainly.com/question/21961097

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