The largest coefficient in 1-x41 is

In (1 + x)41 Since n is odd i.e 41 there4; The largest coefficient is 41C21 or 41C20 i.e. #160;n+12 #160;or #160;n+12+1th term gives largest coefficien ...

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Standard VIII

Mathematics

Expansion of (x+a)(x+b)

The largest c...

Question

The largest coefficient in (1 + x)⁴¹ is ___________.

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Solution

In (1 + x)⁴¹
Since n is odd i.e 41
∴ The largest coefficient is ⁴¹C₂₁or ⁴¹C₂₀
$i . e . (\frac{n + 1}{2} or \frac{n + 1}{2} + 1) th$ term gives largest coefficient

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The largest coefficient in (1 + x)41 is ___________.

In (1 + x)41 Since n is odd i.e 41 ∴ The largest coefficient is 41C21 or 41C20 i.e. n+12 or n+12+1th term gives largest coefficient

The largest coefficient in (1 + x)⁴¹ is ___________.

In (1 + x)⁴¹
Since n is odd i.e 41
∴ The largest coefficient is ⁴¹C₂₁or ⁴¹C₂₀
$i . e . (\frac{n + 1}{2} or \frac{n + 1}{2} + 1) th$ term gives largest coefficient