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MathsMediumMCQ2019 ยท 12 Jan Shift 1

Q67.A ratio of the 5th term from the beginning to the 5th term from the end in the binomial expansion of 10 1 1 3 + 1 is (2 2(3) 3 ) (1) 1 : 4(16) 1 1 3 (2) 4(36) 3 : 1 3 (3) 2(36) 1 1 3 : 1 (4) 1 : 2(6)

What This Question Tests

The question requires calculation of specific terms in a binomial expansion. The 5th term from the beginning is found using the general term formula. The 5th term from the end of an expansion of (a+b)^n is equivalent to the (n-5+2)-th term from the beginning. Then calculate the ratio.

Concepts Tested

General term in binomial expansionTerms from beginning and end

Formulas Used

Tr+1 = nCr * a^(n-r) * b^r

r-th term from end is (n-r+2)-th term from beginning

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