1 Answer

Aylwyn Lake · Answer 1 · 2021-09-27T07:31:08+0000

The value of
f(6) is
f(6)=60

Step-by-step explanation:

The equation is
f(n+1)=f(n)-8

It is given that
f(1)=100

Now, we shall determine the value of
f(6)

Let us substitute
n=1,2,3,4,5 in the equation
f(n+1)=f(n)-8

For
n=1 ,

$\begin{aligned}f(1+1) &=f(1)-8 \\f(2) &=100-8 \\&=92\end{aligned}$

Thus, when
n=1 ⇒
f(2)=92

For
n=2 ,

$\begin{aligned}f(2+1) &=f(2)-8 \\f(3) &=92-8 \\&=84\end{aligned}$

Thus, when
n=2 ⇒
f(3)=84

For
n=3 ,

$\begin{aligned}f(3+1) &=f(3)-8 \\f(4) &=84-8 \\&=76\end{aligned}$

Thus, when
n=3 ⇒
f(4)=76

For
n=4 ,

$\begin{aligned}f(4+1) &=f(4)-8 \\f(5) &=76-8 \\&=68\end{aligned}$

Thus, when
n=4 ⇒
f(5)=68

For
n=5 ,

$\begin{aligned}f(5+1) &=f(5)-8 \\f(6) &=68-8 \\&=60\end{aligned}$

Thus, when
n=5 ⇒
f(6)=60

Hence, the value of
f(6) is
f(6)=60

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