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Mathematics, 05.10.2021 14:00 nally6636

Ernie deposits $9,800 into a pension fund. The fund pays a simple interest rate of 7% per year. What will the balance be after four years? Give your answer in dollars to the nearest dollar. Do not include commas or the dollar sign in your answer. For example if your answer is $1,234.56 enter 1235

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ansver
Answer from: Quest

a_1 = 1, and

a_{n+1} = a_n + (n + 1) for n \ge 1

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote a_1 = 1, a_2 = 3, a_3 = 6, so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

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 a_1 = 1, to get to a_2 = 3, we add 2(=1+1)

from a_2 = 3, to get to a_3 = 6, we add 3 (=2+1)

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

a_1 = 1, and a_{n+1} = a_n +(n + 1) for n \ge 1

ansver
Answer from: Quest

need more detail

step-by-step explanation:

lele

ansver
Answer from: Quest

4+4+2x

or

2x+8

step-by-step explanation:

ansver
Answer from: Quest

i can you with this answer

step-by-step explanation:

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Ernie deposits $9,800 into a pension fund. The fund pays a simple interest rate of 7% per year. What...

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