wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

Find the generating functions of the series 13x+5x27x3+9x411x5+....

Open in App
Solution

S=13x+5x27x3+9x4.......xS=x3x2+5x37x4+9x5......S(1+x)=12x+2x22x3+2x42x5........
Upto infinity
S(1+x)=1+2(2x)+2(2x)2+2(x)3+2(x)4
Upto infinity
=1+2((x)+(x)2+(x)3)
Upto infinity
=1+2(a+ar+ar2+.......)=1+2(a1r)=1+2(x1+x)S(Hx)=1x1+xS=1x(1+x)2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Visualising the Terms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon