Question

prove (by induction) that (1+a)n >1+na for all nonzero real numbers a > -1 and all...

prove (by induction) that (1+a)n >1+na for all nonzero real numbers a > -1 and all integers n>1

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
for the function g(x) = 1/x for all nonzero real numbers X. Is the cardinality the...
for the function g(x) = 1/x for all nonzero real numbers X. Is the cardinality the same for all even numbers as it is for all integers
Prove that if a is a transcendental number, then a^n is also transcendental for all nonzero...
Prove that if a is a transcendental number, then a^n is also transcendental for all nonzero integers n.
Prove by induction that 5^n + 12n – 1 is divisible by 16 for all positive...
Prove by induction that 5^n + 12n – 1 is divisible by 16 for all positive integers n.
1) Prove by induction that 1-1/2 + 1/3 -1/4 + ... - (-1)^n /n is always...
1) Prove by induction that 1-1/2 + 1/3 -1/4 + ... - (-1)^n /n is always positive 2) Prove by induction that for all positive integers n, (n^2+n+1) is odd.
Using induction prove that for all positive integers n, n^2−n is even.
Using induction prove that for all positive integers n, n^2−n is even.
Using induction, prove the following: i.) If a > -1 and n is a natural number,...
Using induction, prove the following: i.) If a > -1 and n is a natural number, then (1 + a)^n >= 1 + na ii.) If a and b are natural numbers, then a + b and ab are also natural
Use Mathematical Induction to prove that 3 | (n^3 + 2n) for all integers n =...
Use Mathematical Induction to prove that 3 | (n^3 + 2n) for all integers n = 0, 1, 2, ....
Prove by induction on n that 13 | 2^4n+2 + 3^n+2 for all natural numbers n.
Prove by induction on n that 13 | 2^4n+2 + 3^n+2 for all natural numbers n.
Prove the following using induction: (a) For all natural numbers n>2, 2n>2n+1 (b) For all positive...
Prove the following using induction: (a) For all natural numbers n>2, 2n>2n+1 (b) For all positive integersn, 1^3+3^3+5^3+···+(2^n−1)^3=n^2(2n^2−1) (c) For all positive natural numbers n,5/4·8^n+3^(3n−1) is divisible by 19
Prove by induction that 5n + 12n – 1 is divisible by 16 for all positive...
Prove by induction that 5n + 12n – 1 is divisible by 16 for all positive integers n.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT