Question

HELP! Find the missing value for the exponential function represented by the table below.

-2 , 26
-1 , 18.2
0, 12.74
1 ???
2 , 6.2426

a.
-8.918
c.
8.756
b.
9.213
d.
8.918

Answer 1

B is your answer if you need me to explain why just ask me :) have a good day  

Answer 2

Option d., 8.918

Explanation:

Exponential sequence is given as

26, 18.2, 12.74, ____, 6.2426

Explicit formula of the function is given by
`a_(n)=a(r)^(n-1)`

when a = first term = 26

r = common ratio =
`(18.2)/(26)` = 0.7

So the sequence will be

`a_(n)=26(0.7)^(n-1)`

We have to find the forth term of the sequence

`a_(4)=26(0.7)^(4-1)`

= 26(0.7)³

a₄ = 8.918

Option D. is the answer.