Colton was offered a job that paid a salary of \$95,000$95,000 in its first year. The salary was set to increase by 2% per year every year. If Colton worked at the job for 26 years, what was the total amount of money earned over the 26 years, to the nearest whole number?

answer: sensy

step-by-step explanation:

, 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

the answer is b