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Yuliya22 [10]
3 years ago
8

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

Mathematics
2 answers:
mylen [45]3 years ago
6 0

Answer:

Option 2nd is correct

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

Step-by-step 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,....

OlgaM077 [116]3 years ago
4 0
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, ...
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