12 Maths -- Binomial Therom

The number of terns in the exoansion (a+x)n  , n is a positive integer, is


The general term in the expansion of (a+x)n is

The fourth term in the expansion of (2x²+1/x) isThe fourth term in the expansion of (2x²+1/x) is

The middle term in the expansion of (x +1/x)18 is

The number of terms in the expansion of (1-x)12 is

The total number of terms in the expansion of (x + y)100+ (x-y)100 after simplification is

The sum of the binomial coefficients in the expansion of (1 + x)" is

If (1+x)n=Co + C₁x + C₂x²+........ Cnxn, then C0+4C1+16C₂+ 64C3+4nCn, is equal to

If (1+x)n=Co + C₁x + C₂x²+........ Cnxn, then C1+2C2+3C3+ .......+nCn, is equal to

 If|x|<1 then 1/1+x is equal to


The value of 1 + 1/3 + (1 * 3)/(3 * 6) + (1 * 3 * 5)/(3 * 6 * 9) +...... is 

The number of terms in the expansion of (1 - x)  - 4 is

The value sum n = 2 to ∞ 1/((n - 1)!) is

Sum of 1 + (1 + 3)/(2!) + (1 + 3 + 5)/(3!) + ......... upto  ∞ is 

 1/3 + ((1/3)  3)/3 + (1/3) 5/5 + (1/3) 7/7 +...... upto ∞ is

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