Mathematical Induction

εIf P(n) = 2+ 4 + 6+....+ 2n, n N, then P(k) = k(k+1) + 2

=> P(k+1) = (k+1)(k + 2) + 2 for all k belongs to N. So we can conclude that P(n) = n(n+1)+2 for

a. all n belonging to N

b.n>1

c.n>2

d. nothing can be said

Ans: D

Why??

5 Answers

1
sriraghav ·

??

9
Celestine preetham ·

Q statement itself wrong

sub n=1 and see for urself

1
sriraghav ·

oh yes...but then one of the options shd be NOT...may b printing mistake in the Q

Another similar type QLet P(n) be a statement and let P(n) => P(n+1) where n is natural number, then P(n) is true
. for all n
b.for all n>1
c.for all n>m
d.Nothin can b said

9
Celestine preetham ·

c if its given p(m) is true

so ans mostly d
quite ambiguous
dont bother abt these wrong Qs and waste ur time :P

1
sriraghav ·

This is from fiit jee material...:D...:P

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