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
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.