Sum of the binomial coefficients is

MCQ

2ⁿ

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Binomial Theorem

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Chapter 2: Algebra - Exercise 2.7 [Page 47]

Chapter 2 Algebra
Exercise 2.7 | Q 25 | Page 47

Expand the following by using binomial theorem.

`(x + 1/x^2)^6`

The middle term in the expansion of `(x + 1/x)^10` is

The constant term in the expansion of `(x + 2/x)^6` is

Using binomial theorem, indicate which of the following two number is larger: `(1.01)^(1000000)`, 10

Find the coefficient of x² and the coefficient of x⁶ in `(x^2 -1/x^3)^6`

Find the constant term of `(2x^3 - 1/(3x^2))^5`

In the binomial expansion of (a + b)ⁿ, if the coefficients of the 4^th and 13^th terms are equal then, find n

If the binomial coefficients of three consecutive terms in the expansion of (a + x)ⁿ are in the ratio 1 : 7 : 42, then find n

In the binomial expansion of (1 + x)ⁿ, the coefficients of the 5^th, 6^th and 7^th terms are in AP. Find all values of n

Choose the correct alternative:
The remainder when 38¹⁵ is divided by 13 is