Question

1.
The number (10" - 1) is divisible by 11
for
(Α) ηε Ν
(B) Odd values of n
(C) Even values of n
(D) n is the multiple of 11​

Answer 1

Answer:

Explanation:

Letabe10  

n

−1

forn=1⟶10  

1

−1=9→notdivisibleby11

forn=2⟶10  

2

−1=99→divisibleby11

forn=3⟶10  

3

−1=999→notdivisibleby11

forn=4⟶10  

4

−1=9999→divisibleby11

forn=5⟶10  

5

−1=99999→notdivisibleby11

forn=6⟶10  

6

−1=999999→divisibleby11

So,byinductionwecansaythat10  

n

−1is

divisibleby11onlywhenniseven.