for which values of n will any set of consecutive integers, each raised to the power of n and added together give a total which
divides by 7?
1 answer:
Answer:
Step-by-step explanation:
If a number A is divisible by 7, then it satisfies the following condition
● A = 7k
k is an integer
Let A be the sum of consecutive integers raised to the power of n
● A = a^n + (a+1)^n + (a+2)^n + .....
For this sequence to be divisible by 7 it must satisfy the condition above
A = 7k where k is an integer
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