Mathematics: What is the recursive rule for an=4n−1?

What is the recursive rule for an=4n−1? - id414116710, gudtavosanchez19

Mrabas

12.01.2022

Option 1 is correct that is $a_1=3,a_n=a_{n-1}+4$

Step-by-step explanation:

We have given a_n=4n-1

We will put different values of n to get the recursive formula:

When n=1 in a_n=4n-1 we get

a_1=4(1)-1=3

When n=2 in a_n=4n-1 we get

a_2=4(2)-1=7

When n=3 in a_n=4n-1 we get

a_3=4(3)-1=11

We can clearly see the difference between consecutive terms is 4

Hence, recursive formula will become

$a_1=3,a_n=a_{n-1}+4$

Therefore Option 1 is correct that is $a_1=3,a_n=a_{n-1}+4$

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