1. Use induction to prove that n3 - 7n + 3, is divisible by 3, for all natural numbers n.

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MATH211: Discrete Mathematics
Nile University
Assignment (3):
1. Use induction to prove that n3 - 7n + 3, is
divisible by 3, for all natural numbers n.
2. Use mathematical induction to prove the
inequalities. Prove that n2 - 7n + 12 is
nonnegative whenever n is an integer with n 2 3
3. Use mathematical induction to prove that
13 + 23 + 33 + ... +n3 =n? (n + 1) ? / 4
for all positive integers n.
4. Use induction to prove that 10" + 3 × 4n+2 +
5, is divisible by 9, for all natural numbers n.
< 1 /1 >
Transcribed Image Text:4:50 Y O A * l ll Save : MATH211: Discrete Mathematics Nile University Assignment (3): 1. Use induction to prove that n3 - 7n + 3, is divisible by 3, for all natural numbers n. 2. Use mathematical induction to prove the inequalities. Prove that n2 - 7n + 12 is nonnegative whenever n is an integer with n 2 3 3. Use mathematical induction to prove that 13 + 23 + 33 + ... +n3 =n? (n + 1) ? / 4 for all positive integers n. 4. Use induction to prove that 10" + 3 × 4n+2 + 5, is divisible by 9, for all natural numbers n. < 1 /1 >
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