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Answer :
In 15 months Mr. Spender will repay his amount of $3600 in Arithmetic Progression.
What is Arithmetic Progression ?
A series of integers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.
An arithmetic progression (AP) can be defined in one of two ways:
- A series in which the differences between each pair of following words are the same is known as an arithmetic progression.
- An arithmetic progression is a series in which every phrase—aside from the initial term—is created by multiplying the preceding term by a predetermined amount.
The algebraic series of numbers known as arithmetic progression is one in which every subsequent term's difference is the same. It may be attained by multiplying each preceding phrase by a predetermined number.
Total amount to be repaid is $3600(s)
First month payment is $100(a)
Increase every month = $20(d)
let n be the number of months taken to repay, then
n/2 *[2a + (n-1)d] = s
⇒[tex]\frac{n}{2}[2*100 + (n-1) 20] = 3600[/tex]
⇒ n = 15 months
In 15 months Mr. Spender will repay his amount of $3600 in Arithmetic Progression.
To learn more about Arithmetic Progression refer to :
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