find the final amount in the following retirement? account, in which the rate of return on the account and the regular contribution change over time. ? $1400 per quarter invested at 6.1? %, compounded? quarterly, for 10 ? years; then ? $1700 per quarter invested at 6.2? %, compounded? quarterly, for 17 years.
find the final amount in the account.

the monthly balance will be $75,000

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

just sum

10 + 10 = 20