Gabriel invested $77,000 in an account paying an interest rate of 3% compounded monthly. Isabella invested $77,000 in an account paying an interest rate of 4%
compounded quarterly. After 6 years, how much more money would Isabella have in
her account than Gabriel, to the nearest dollar?

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

, 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

a

step-by-step explanation: