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3 votes
Select the sequence that matches the recursive formula. a1 = 39 1n = an-1 -5.

...m-9,-27,-81... ...

,34,29,24... ...,

-27,84,-243... ...,

-8.3,-7.4,-6.5...

2 Answers

6 votes
From what you wrote I can assume thad difference of sequence is equal to -5.
The only matching sequence for that recursive formula is the second one:
..., 34, 29, 24, ...
User Sami
by
7.9k points
2 votes

Answer:

Option 2nd is correct

39, 34, 29, 24,....

Explanation:

Given the recursive formula:


a_1 = 39


a_n = a_(n-1)-5

For n = 2


a_2 = a_(2-1)-5


a_2 = a_(1)-5=39-5 = 34


a_2 = 34

For n= 3:


a_3 = a_(3-1)-5


a_3= a_(2)-5=34-5 = 29


a_3= 29

For n = 4:


a_4 = a_(4-1)-5


a_4= a_(3)-5=29-5 = 24


a_4= 24 and so on....

We get the sequence:

39, 34, 29, 24,....

Therefore, the sequence that matches the recursive formula is, 39, 34, 29, 24,....

User Jerrah
by
8.5k points
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