Question

Find the third, fifth, and seventeenth terms of the sequence described by

Answer 1

Given:

The explicit formula of a sequence is

$f(n)=-9.2-2.5(n-1)$

To find:

The third, fifth, and seventeenth terms of the sequence.

Solution:

We have,

$f(n)=-9.2-2.5(n-1)$

For n=3,

$f(3)=-9.2-2.5(3-1)$

$f(3)=-9.2-2.5(2)$

$f(3)=-9.2-5$

$f(3)=-14.2$

For n=5,

$f(5)=-9.2-2.5(5-1)$

$f(5)=-9.2-2.5(4)$

$f(5)=-9.2-10$

$f(5)=-19.2$

For n=7,

$f(7)=-9.2-2.5(7-1)$

$f(7)=-9.2-2.5(6)$

$f(7)=-9.2-15$

$f(7)=-24.2$

Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.