A statement Sn about the positive integers is given Write st
A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work.
Sn: 12 + 42 + 72 + . . . + (3n - 2)2 =
| A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work. |
Solution
S1 = (3*1-2)*2 = 2 (even)
S2 = (3*2-2)*2 = 8 (even)
S3 = (3*3-2)*2 = 14 (even)
Since S1, S2, S3 are evens.
Hence true
