Math miscellaneousHard
Question
If the expansion in powers of x 
is
a0 + a1x + a2x2 + aa3x3 + ...., then an is
is a0 + a1x + a2x2 + aa3x3 + ...., then an is
Options
A.
B.
C.
D.
Solution
(1 - ax)-1 (1 - bx)-1 = (1 + ax + a2x2 + ....)(1 + bx + b2x2 + ....)
∴ coefficient of xn = bn + abn-1 + a2bn-2 + ....+an-1b + an =
∴ an =
∴ coefficient of xn = bn + abn-1 + a2bn-2 + ....+an-1b + an =
∴ an =
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
If Xm. yn = (x + y)m + n, then is...The value of is equal to -...If Sn = and tn = , then is equal to...Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope ...If (-2, 6) is the image of the point (4, 2) with respect to the line L = 0, then L =...