5.) Prove that given any integer for n, n³ + 2n will be divisible by 3. n²(n+1)² 6.) 13 + 23 + 33 + +n3 ... 4 1 7.) 1e + z + 1 + n(n+1) given that any integer for n is positive. + ... 1(2) 2(3) 3(3)...

5-9 mathematical induction

Extracted text: 5.) Prove that given any integer for n, n³ + 2n will be divisible by 3. n²(n+1)² 6.) 13 + 23 + 33 + +n3 ... 4 1 7.) 1e + z + 1 + n(n+1) given that any integer for n is positive. + ... 1(2) 2(3) 3(3) n+1' 8.) Write the formal proof that 2n+2 + 32n+1 is divisible by 7 for all positive integers. 9.) Is 9" + 3 is divisible by 4? PROVE IT!