
• 56 = 16
so 16 pizzas are pepperoni
19 pizzas are cheese
And the rest is Veggie
So now add 16 and 19 which is 35
Now subtract that from 50 which is 15
So 15 pizzas were Veggie pizzas
Looks like your function is

Rewrite it as

Recall that for
, we have

If we replace
with
, we get

By the ratio test, the series converges if

Solving for
gives the interval of convergence,

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.
Answer:
$421.30
Yearly Componded Interest
$250 * 19% = $47.50 = $297.50 <-- Year One Balance
$297.50 * 19% = $56.53 = $354.03 <-- Year Two Balance
$354.03 * 19% = $67.27 = $421.30 <-- Year Three Balance