Find the greatest term in the expansion of $(5 - 4 x)^{n}$ , if $n = - 7$ and $x = \frac{1}{2}$ .

4 and 5

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5 and 6

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6 and 7

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3 and 4

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Solution

The correct option is A 4 and 5
Here $n = 7$
Total terms $= (7 + 1) = 8$
As, 8 is even, so there are two middle terms: $(\frac{8}{2}), (\frac{8}{2} + 1)$ or $4$ and $5$

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