SOLUTION: a statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Sn: 3 + 4 + 5 + 6 + (n + 2) = n(

Algebra ->  Sequences-and-series -> SOLUTION: a statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Sn: 3 + 4 + 5 + 6 + (n + 2) = n(      Log On


   

Question 863678: a statement Sn about the positive integers is
given. Write statements S1, S2, and S3, and show that each of these
statements is true.
Sn: 3 + 4 + 5 + 6 + (n + 2) = n(n + 5)/2
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
S1 =1*(6/2)=3
3=3
S2=2*(7)/2=7
3+4=7
S3=3*(3+5)/2=12
3+4+5=12
S4=4*(4+5)/2=2*9=18
3+4+5+6=18