Find the common difference, explicit and recursive formula if the terms of a sequence are -2, -6, -10, -14, -18

Ratuiszt

Ratuiszt

Answered question

2022-10-03

Find the common difference, explicit and recursive formula if the terms of a sequence are -2, -6, -10, -14, -18

Answer & Explanation

Jase Powell

Jase Powell

Beginner2022-10-04Added 11 answers

This is an arithmetic sequence. since you can find a common difference, that is
- 6 - ( - 2 ) = - 10 - ( - 6 ) = - 14 - ( - 10 ) = - 18 - ( - 14 ) = - 4
The explicit formula is:
a n = - 2 - 4 ( n - 1 ) , n > 0 , n
The recursive formula is:
a 1 = - 2 and a n + 1 = a n - 4

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