For the series ∑n=0 → ∞ (4ˣ -7)ⁿ, find the interval of convergence and what the series converges to.

This series is geometric; substitute to see how.

Then the series converges if

Under these conditions, we have

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.