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.

Sn:   12 + 42 + 72 + . . . + (3n - 2)2 =

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

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 + 4

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