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MathsMediumMCQ2023 ยท 11 Apr Shift 2

Q68.The sum of the coefficients of three consecutive terms in the binomial expansion of (1 + x)n+2 , which are in the ratio 1 : 3 : 5 , is equal to (1) 92 (2) 63 (3) 41 (4) 25

What This Question Tests

This question tests the relationships between consecutive binomial coefficients, requiring the use of their ratio formula to solve for 'n' and then calculate the sum of the coefficients.

Concepts Tested

Binomial coefficientsRatio of consecutive termsSum of binomial coefficients

Formulas Used

nCr / nC(r-1) = (n-r+1)/r

Sum of coefficients = (1+1)^n = 2^n

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