## Consider the sequence: 8, 11, 14, 17, 20, 23, 26, -. Write a recursive definition: Group of answer choices LaTeX: a_n=2\c

Question

Consider the sequence: 8, 11, 14, 17, 20, 23, 26, ….. Write a recursive definition: Group of answer choices
LaTeX: a_n=2\cdot a_{n-1}-5 a n = 2 ⋅ a n − 1 − 5
LaTeX: a_n=3\cdot a_{n-1} a n = 3 ⋅ a n − 1
LaTeX: a_n=3+a_{n-1} a n = 3 + a n − 1
LaTeX: a_n=8+3\cdot a_{n-1}

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2 weeks 2021-10-12T10:07:57+00:00 1 Answer 0

1. Consider the sequence: 8, 11, 14, 17, 20, 23, 26, The recursive definition is

### Solution:

The given sequence is :- 8, 11, 14, 17, 20, 23, 26, …..

Second term is and so on

On analyzing the above series we can say

Each time we want a new term, we add on 3 to previous term which is as follows:-

8 + 3 = 11

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

20 + 3 = 23

23 + 3 = 26

And so on

This recursive step of adding on 3 to the prior term is written in the following general form:

Let’s check the above recursive definition by substituting n = 2 we should get 11

Thus the required recursive definition is found