Respuesta :

f(n) = 1.25n + 6.25
25 = 1.25n + 6.25
25 - 6.25 = 1.25n
18.75 = 1.25n
18.75/1.25 = n
15 = n

Answer:

n = 15

Step-by-step explanation:

The given explicit formula is f(n) = 1.25n + 6.25

In which n represents the number of term of the sequence

If f(n) = 25

Then 25 = 1.25n + 6.25

Now we subtract 6.25 from both the sides of the equation.

25 - 6.25 = 1.25n

1.25n = 18.75

Further we divide this equation by 1.25

[tex]\frac{1.25n}{1.25}= \frac{18.75}{1.25}[/tex]

n = 15

Therefore, n = 15 is number of term.