Laverne starts counting out loud by 5's. She starts with 7. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 5000, Shirley runs screaming from the room. What number did Laverne last say before Shirley flees?

Answer 1

Just use your formula for an arithmetic sequence

n/2 (2*7+(n-1)*5 > 5000
n > 44

So, the 44th term is 7+43*5 = 222

check:
43/2 (14+42*5) = 4816
4816+222 = 5038

Answer 2

5 goes evenly into 5000, but there is an extra 2 in there...

Answer 3

not sure where Steve is going

counting by 5's, the largest 1st number OVER 5000 in one counting step would be 5005

Answer 4

we want the *sum* to exceed 5000 ...