Question

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

Answer 1

The right answer is

D...

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Answer 2

Option 4 -The recursive formula is
`a_n=a_(n-1)-8; a_1=38`

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`