If 4 numbers of puppets are sharing 1 cake equally write a fraction to show what part of the cake 1 of those puppets will be eat
2 answers:
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Answer:
we need to prove : for every integer n>1, the number is a multiple of 5.
1) check divisibility for n=1, (divisible)
2) Assume that is divisible by 5,
3) Induction,
Now,
Take out the common factor,
(divisible by 5)
add both the sides by f(k)
We have proved that difference between and
is divisible by 5.
so, our assumption in step 2 is correct.
Since is divisible by 5, then
must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.
Therefore, for every integer n>1, the number is a multiple of 5.
