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If the 2nd, 3rd and 4th terms in the expansion of `(x+a)^n` are 240, 720 and 1080 respectively, find `x ,\ a ,\ ndot`

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To solve the problem step by step, we will use the information given about the second, third, and fourth terms in the expansion of \((x + a)^n\). ### Step 1: Write the General Term The general term \(T_{r+1}\) in the expansion of \((x + a)^n\) is given by: \[ T_{r+1} = \binom{n}{r} x^{n-r} a^r \] ...
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RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
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  2. If the 6th, 7th, 8th terms in the expansion of (x+ a)^n be 112, 7 and ...

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  3. If the 2nd, 3rd and 4th terms in the expansion of (x+a)^n are 240, ...

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  4. Find a, b and n in the expansion of (a+b)^n if the first three t...

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  7. Write the middle term in the expansion of ((2x^2)/3+3/(2x^2))^(10)dot

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  8. Which term is independent of x in the expansion of (x-1/(3x^2))^9?

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  12. Write the coefficient of the middle term in the expansion of (1+x)^(2n...

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  13. Find the sum of the coefficient of two middle terms in the binomial ...

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  14. If a\ a n d\ b are the coefficients of x^n in the expansions of (1+x)^...

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  15. The total number of terms in the expansion of (x+a)^100+(x-a)^100 is:

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  16. If (1-x+x^2)^n=a0+a1x+a2x^2++a(2n)x^(2n),\ find the value of a0+a2+a4...

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  18. The term without x in the expansion (2x-1/(2x^2))^(12) is a. 495 b. -4...

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