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. an = an–1 + 14

Step-by-step 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

Answer 2

Answer: A. $a_n=a_{n-1}+14$

Step-by-step 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 :-

$a_n=a_{n-1}+14$