Mathematics: The fourth term of a sequence is 14. each term of the sequence is 8 less than the previous term. which recursive formula represents the situation? a. an=-8an-1; a1=14 b. an=an-1-8; a1=14 c. an=-8an-1; a1=38 d. an=an-1-8; a1=38

Step-by-step explanation:Do you have a math question??...

The fourth term of a sequence is 14. each term

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07.01.2022

Option 4 -The recursive formula is $a_n=a_{n-1}-8; a_1=38$

Step-by-step explanation:

Given : The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term.

To find : Which recursive formula represents the situation?

Solution :

The fourth term of a sequence is 14.

Each term of the sequence is 8 less than the previous term.

Since, a_4=14

Third term , a_3=14+8=22

Second term , a_2=22+8=30

First term , a_1=30+8=38

So, a_1=38 and the recursive formula created is

$a_n=a_{n-1}-8; a_1=38$

Therefore, Option 4 is correct.

The recursive formula is $a_n=a_{n-1}-8; a_1=38$

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