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Mathematics

Grade10

Easy

Question

Which term will be the middle term of (xyz – x)²ⁿ?

(n + 1)^th term
(n + 2)^th term
n^th term
(n – 1)^th term

The correct answer is: (n + 1)^th term

STEP BY STEP SOLUTION
Clearly, 2n is an even number, and the binomial has 2n + 1 terms.
The middle term for a binomial with even power is the term equal to (n/2 + 1), where n is the number of terms.
In this case, (2n/2 + 1) = n + 1.

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