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Asked by universitymails6 | 22 Jun, 2022, 07:15: PM

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Q: If the sum of the coefficients in the expansion of (a+b)ⁿ is 4096, then the greatest coefficient in the expansion is

Solution:

The space greatest space coefficient space is colon space to the power of straight n straight C subscript straight n over 2 end subscript space when space straight n space is space even to the power of straight n straight C subscript fraction numerator straight n plus 1 over denominator 2 end fraction end subscript space and space to the power of straight n straight C subscript fraction numerator straight n minus 1 over denominator 2 end fraction end subscript Sum space of space the space coefficients space of space left parenthesis straight a plus straight b right parenthesis to the power of straight n equals 2 to the power of straight n space Therefore comma space 2 to the power of straight n equals 4096 equals 2 to the power of 12 rightwards double arrow straight n equals 12 comma space which space is space even So comma space the space greatest space coefficient space equals to the power of 12 straight C subscript 6 equals 924

Answered by Renu Varma | 25 Jun, 2022, 12:34: PM

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JEE main - Maths

please solve this solution

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reminder kya hoga?

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JEE main - Maths

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 [Main April 11, 2023 (II)] (a) 25 (b) 63 (c) 41 (d) 92

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JEE main - Maths

maths.

Asked by coolestoginthehood | 30 Dec, 2023, 08:00: PM

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JEE main - Maths

please solve

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JEE main - Maths

answer

Asked by universitymails6 | 22 Jun, 2022, 07:15: PM

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JEE main - Maths

if x + 1/x = 2 , then what is the value of x⁹⁵ + 1/x⁹⁵.

Asked by ria102680 | 19 May, 2022, 07:41: AM

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JEE main - Maths

Plz solve with proper steps

Asked by rinamahuya | 25 Jan, 2020, 01:42: PM

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JEE main - Maths

What is the coefficient of x^90 in (x-1) (x-2) (x-100)?

Asked by ramlala66 | 09 Dec, 2019, 01:07: PM

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JEE main - Maths

a box contains 24 identical of which 12 are white and 12 are black. the balls are drawn at random from the box one at time with replacement. the probability that a white ball is drawn for the 4th time on the 7th draw is?

Asked by laks78 | 13 May, 2019, 11:41: PM

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