1A simpler method..... an=an-1 + an-2......for nth step
a3=a1+a2=3
a4=a3+a2=5
a5=a4+a3=8
similarly... a10=a9+a8=89
i dunno whether this is simpler or tougher.
A man takes either 1 step forward or 2 steps forward. If a ladder contains 10 steps, find how many no. of ways can he climb?
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11 Answers
62x+2y=10
this has the same no of solutions as
x=0, y-5
x=2, y=4
x=4, y=3
x=6, y=2
x=8, y=1
x=10, y=0
take the cases for each of them.. and add...
I dont see a simpler method straight away... may be the final answer could throw some light!! (or may be the series itself can)
162will it also be the coefficient of
x10 in (x+x2)10
which is same as
x5 in (1+x)10
??
someone just went mad
62dont worry i was trying to apply another problem here.. which din work :(
62it will also be the be the coefficient of
x10 in
(x+x2)+(x+x2)2 +(x+x2)3+(x+x2)4+(x+x2)5.... infinity
Looks intimidating but can be used... (if u know multinomial expansion :)
62yes aditya it is a wonderful method...
But it is not so easy to get directly...
good that u realised it so quickly...
:)
1actually even my binomial thm is not soooo gud.......multinomial thm,i even dont remember[3]