Prove by induction : if n < =(2^k) -1 then we can find the number with k guesses

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1. Prove by induction : if n < =(2^k) -1 then we can find the number with k guesses
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2. Prove by induction : if n < =(2^k) -1 then we can find the number with k guesses
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3. 3. Prove by induction that∑_(r=1)^n▒〖r(r+4)=1/6 n(n+1)(2n+13)〗.5. It is given that u_1=1 and u_(n+1)=3u_n+2n-2 where n
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4. prove the product of 4 consecutive integers is always divisible by 24 using the principles of math induction. Could anyone help
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