The first one is B and the second is D
Step-by-step explanation:
Hope it helps you in your learning process.
Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
It’s definitely A
Ex: f(x)=8x+2
f(x)=8(-4)+2
f(x)=-32+2
f(x)=-30
Answer:
3000 %
Step-by-step explanation:
