Question

Show work plz hahaha

You borrow money for a new car from the bank. After month 1, the loan balance is $14,760. After month 2, it is $14,520. If this pattern continues, what will the balance be after 21 months?

Answer 1

9960

Explanation:

Answer 2

The balance after 21 months is $9960.

Explanation:

Let a₁ = 14760, a₂ = 14520, and a₂₁ be the balance after 21 months:

So we apply the given values to get the missing values:

First, we get the common difference, That is,

d = a₂ - a₁

d = 14520 - 14760

d = -240

So, we substitute the value of common difference and the known values,

a₂₁ = a₁ + (n-1)d

a₂₁ = 14760 + (21-1)(-240)

a₂₁ = 14760 + (20)(-240)

a₂₁ = 14760+(-4800)

a₂₁ = 9960

Therefore, the balance after 21 months is $9960.