Question

heyy


plzz someone provide me extra question of chapter pmi class 11th maths

Answer 1

Answer:

PMI :- Principal of Mathematics Induction

Class 11

1. 1 + 5 + 9 + ... + (4n - 3) = n(2n - 1 ) for all natural numbers n.

2. If x^n - 1 is divisible by x - k, then the least positive integral value of k is

a. 1, b. 2, c. 3 ,d. 4

3.  Prove : 102n-1 + 1 is divisible by 11.

4. Prove : 2.7n + 3.5n – 5 is divisible by 24 for all n.

5. n3 + (n + 1)3 + (n – 2)3 is a multiple of 9

6.  x2n-1 is divisible by (x – 1)

7. Prove the rule of exponents (ab)n = an bn

8. Prove: 23n – 1 is divisible by 7

9. 12 + 32 + 52 +-----------+(2n – 1)2 = n(2n - 1) (2n + 1)/3

10. 1 + 2 + 3 +-------+ n = n(n + 1)/2