Mathematics: What is the equivalent recursive definition for an = 12+ (n - 1)3? A. a1 = 3, An = An-1 + 12 B. a1 = 12, An = 30n-1 C. a1 = 12, Un = On-1 +3 D. a1 = n, an= 1201-1+3

3/20Step-by-step explanation:...

What is the equivalent recursive definition for

getsic

18.07.2021

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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