which recursive formula can be used to represent the sequence 2,5,8,11,14,..
a. a1=2 an-1=an+3
b. a1=0 an=an-1+3
c. a1=2 an=an-1-3
d. a1=2 an=an-1+3​

Respuesta :

The recursive formula that is used to represent the sequence 2,5,8,11,14,... is a(n)=a(n-1)+3.

Sequence

A sequence is an ordered set of numbers that frequently maintain a pattern.

How to find a recursive formula that is used to represent the given sequence?

The given sequence is 2,5,8,11,14,..

The first term is 2.

So, a(1)=2

The common difference is (5-2), that is 3.

So, the recursive formula is a(n)=a(n-1)+3

Therefore, the recursive formula that is used to represent the sequence 2,5,8,11,14,... is a(n)=a(n-1)+3.

Thus, the correct option is (d)

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