Aradio station advertises a contest with ten cash prizes totaling $5510. there is to be a $100 difference between each successive prize. find the amounts of the least and greatest prizes the radio station will award. a. least: $100 greatest: $1000 b. least: $10 greatest: $5500 c. least: $101 greatest: $1001 d. least: $50 greatest: $1500 select the best answer from the choices provided a) a b) b c) c d) d

option C

c. least: $101

greatest: $1001

Step-by-step explanation:

A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize.

Sum of 10 prizes = 5510

100 is the difference. there is a common difference d=100

So its a arithmetic sequence

the sum formula for arithmetic sequence is

Sn = 5510, n=10 n d= 100 we need to find out first term a1

5510 = 5 (2a1 + 900)

5510 = 10a1 + 4500

Subtract 4500 on both sides

1010= 10a1

divide by 10 on both sides

a1 = 101

so first term that is least term is 101

To find out greatest term we use formula

a(10) = 101 + (10-1)100

= 101 + 900= 1001

greatest is 1001