Exploring Binomial Theorem Important Laq 8 Maths 2a Maths2a Inter2ndyearmaths
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- For r=0,1,2,…,n prove that C0Cr+C1Cr+1+C2Cr+2+...+Cn-rCn = 2nCn+r Hence deduce that (c0)^2 + (c1)^2 + (c2)^2 +...+ (cn)^2 ...
- 4/5+4.6/5.10+4.6.
- If the 2nd, 3rd and 4th terms in the expansion of (a+x)^n are respectively 240, 720, 1080, find a, x, n.
- x=1.3/3.6+1.3.5/3.6.9+1.3.5.7/3.6.9.12+... Show that 9x^2+24x=11 x=(1.3)/(3.6)+(1.3.5)/(3.6.9)+(1.3.5.7)/(3.6.9.12)+... Show that ...
- Binomial Theorem
In-Depth Information on Binomial Theorem Important Laq 8 Maths 2a Maths2a Inter2ndyearmaths
If n is a positive integer and x is any nonzero real number, then prove that C0 + C1(x/2) + C2(x^2/3) + C3(x^3/4) +...+ Cn(x^n/n+1) ... 1/5+1.3/5.10+1.3.5/5.10.15+... (1/5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+... 3.5/5.10+3.5.7/5.10.15+3.5.7.9/5.10.15.20+... (3.5)/(5.10)+(3.5.7)/(5.10.15)+(3.5.7.9)/(5.10.15.20)+... 7/5(1+(1/10^2)+(1.3/1.2).(1/10^4)+(1.3.5/1.2.3).(1/10^6)+...)
1-4/5+4.7/5.10-4.7.10/5.10.15+... 1-(4/5)+(4.7)/(5.10)+(4.7.10)/(5.10.15)+...
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