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statuscvo [17]
3 years ago
6

What is the equivalent recursive definition for an = 12+ (n - 1)3?

Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Answer:

A_1 = 12

A_n = A_{n-1} + 3

Step-by-step explanation:

Given

A_n =12+(n-1)3

Required

Write as recursive

We have:

A_n =12+(n-1)3

Open bracket

A_n =12+3n-3

A_n =12-3+3n

A_n =9+3n

Calculate few terms

A_1 =9+3*1 = 9 + 3 = 12

A_2 =9+3*2 = 9 + 6 = 15

A_3 =9+3*3 = 9 + 9 = 18

The above shows that the rule is to add 3.

So, we have:

A_1 = 12

A_n = A_{n-1} + 3

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