## What is the recursive rule for the sequence? −7.4, −21.2, −35, −48.8, −62.6

Question

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## Answers ( No )

subtract 13.8 from the previous number to get the next one.

if previous number is a(n-1) next number is a(n)

a(n) = a(n-1) – 13.8

Answer:Step-by-step explanation:The recursive rule for the arithmetic sequence is given by:

…..[1]

where,

dis the common difference of two consecutive terms.Given the sequence:−7.4, −21.2, −35, −48.8, −62.6

This is an arithmetic sequenceHere, first term = -7.4 and d = -13.8

Since,

-21.2+7.4 = -13.8,

-35+21.2 = -13.8 ans so on…

Substitute the given value in [1] we have;

⇒

Therefore, the recursive rule for the sequence is, and = -7.4