Question

What is the recursive rule for the sequence 13, 27, 41, 55, ...?

A. an = an–1 + 14
B. an = 2an–1 + 14
C. an = a1 + 15
D. an = an–1 + 13

Answer 1

Answer: A.
`a_n=a_(n-1)+14`

Explanation:

The given sequence : 13, 27, 41, 55, ...

The first term of the given sequence :
`a_1=13`

The common difference between the terms :
`d=27-13=14`

The recursive formula for any Arithmetic progression is given by :-

`a_n=a_(n-1)+d`

Thus, the recursive formula for given sequence will be :-

`a_n=a_(n-1)+14`

Answer 2

A. an = an–1 + 14

Explanation:

13 , 27 , 41, 55, .....

+14 +14 +14

We are adding 14 each time

Take the previous term and add 14

an = an-1 +14