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AravindG
 3 years ago
justify (5^k5) always divisible by 4
AravindG
 3 years ago
justify (5^k5) always divisible by 4

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NotTim
 3 years ago
Best ResponseYou've already chosen the best response.0Logs? YOu try logarthmic? WHY DID YOU ASK ME...

Ishaan94
 3 years ago
Best ResponseYou've already chosen the best response.4Hmm \[\frac{(1+4)^k  1  4}{4}\] Try to use the binomial expansion, the 1 would cancel, leaving only the factors of 4.

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.2what to do with (1+4)^k

vishal_kothari
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1332391543618:dwdw:1332391574845:dwdw:1332391595432:dwdw:1332391616609:dwdw:1332391646332:dwdw:1332391674792:dw

Ishaan94
 3 years ago
Best ResponseYou've already chosen the best response.4Use the binomial expansion \[(1+4)^k = \underbrace{\binom{k}{0}4^{0}1^{k}}_{\text{This is 1}} + \binom{k}{1}4^1 1^{k1} + \ldots + \binom{k}{k}4^k \] \[\frac{1 + \binom{k}{1}4^1 1^{k1} + \ldots + \binom{k}{k}4^k 1 4}{4}\]
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