MBA
Exam
how may terms are there in the expansion (1+(x)+(x^2)+(x^3))^16??? 1) 49 2) 48 3) 16 4) 60
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- Number of terms in expansion of (1+(x)+(x^2)+(x^3)+ .... + (x^n))^m = mn+1.
Therefore, here m = 16, n=3. mn+1 = 49 - 11 years agoHelpfull: Yes(2) No(0)
- Answer = 60 (Option 4)
(a+b) ^ 2 = 3 terms
(a+b) ^ 3 = 4 terms
(a+b) ^ 16 = 17 terms... (1)
This repeats thrice as we have 4 variables.
So 17 x 3 = 51 terms
Three variables will again create 3 terms
So 3x3 = 9 terms
Adding 51 + 9 = 60 Answer - 11 years agoHelpfull: Yes(0) No(3)
- answer is 1)49 as
(1+x)^2=1+2x+x^2=3
(1+x+x^2)^2=1+x^2+x^4+2x+2x^3+2x^2=1+3x^2+x^4+2x+2x^3=5
so formula =mn+1(where m=total terms-1,n-power )
so m=3,n=16
solution=16*3+1=49
- 11 years agoHelpfull: Yes(0) No(0)
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