After the first bank deposit, each successive monthly deposit is increased by the same amount. If the fifth deposit was $41 and the tenth was $76, which deposit was $160?

Answer 1

a5 =41= 5th term

a10 =76= 10th term

it's an arithmetic sequence with common difference = (76-41)/(10-5) = 35/5 = 7

an = a1 +d(n-1)= the nth term

a5 = a1 +7(5-4)

a5 =a1 +28 = 41

a1 = 41-28 =13= 1st term

an =13 +7(n-1) = 160

7n-7 = 160-13 =147

7n = 140

n = 20

the 20th term is $160