Question

Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,...8,−5,−18,−31,...8, comma, minus, 5, comma, minus, 18, comma, minus, 31, comma, point, point, point.
d(1)=d(1)=d, left parenthesis, 1, right parenthesis, equals

d(n)=d(n-1)+d(n)=d(n−1)+d, left parenthesis, n, right parenthesis, equals, d, left parenthesis, n, minus, 1, right parenthesis, plus

(for the peeps who copy it off off khan academy.)


SOLVED
sorry to the person who solved it. its 5 am in the morning for me

Blank space no. 1: 8
Blank space no. 2: -13

Answer 1

The recursive formula for the arithmetic sequence is given as follows:

• d(1) = 8.

• d(n) = d(n - 1) - 13.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

$a_n = a_1 + (n - 1)d$

In which $a_1$ is the first term.

The recursive formula for the sequence is given by:

$a_n = a_{n-1} + d$

In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:

$a_1 = 8, r = 13$

Hence, the recursive sequence is given by:

• d(1) = 8.

• d(n) = d(n - 1) - 13.

More can be learned about arithmetic sequences at brainly.com/question/6561461

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