Maths Binomial Theorem & Mathematical Induction Multinomial Theorem, Terms Free From Radical Sign in the Expansion of (A1/P + B1/Q), Problems Regarding to Three / Four Consecutive Terms or Coefficients Single Correct MCQ
Published on: August 14, 2026

In the expansion of , the number of integral terms is

A
128
B
129
C
130
D
131

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Text Solution

Verified by Experts
The correct answer is:
B

Here , a power of 2, where as the power of 7 is

Now first term (integer)

And after 8 terms, the 9 th term = an integer

Again, 17 th term =

= An integer.

Continuing like this, we get an A.P. 1, 9, 17, ...., 1025,

because 1025 th term = the last term in the expansion

(an integer)

If n is the number of terms of above A.P. we have

.

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