# Index of (r+1)th Term from End When Counted from Beginning

## Trending Questions

**Q.**

If the coefficient of x2 and x3 in the expansion of (3+ax)9 are the same, then the value of a is

−79

79

−97

97

**Q.**

If in the expansion of (1+x)15, the coefficient of (2r+3)th and (r−1)th terms are equal, then the value of r is

5

4

3

6

**Q.**

The coefficients of 5th, 6th and 7th terms in the expansion of (1+x)n are in A.P., find n.

**Q.**

Find n in the binomial (3√2+13√3)n, if the ratio of 7th term from the beginning to the 7th term from the end is 16.

**Q.**

The coefficient of x−3 in the expansion of (x−mx)11 is

−792m5

−792m6

−924m7

−330m7

**Q.**

If the coefficient of the $5th,6th$ and $7th$ terms of the expansion of $(1+x{)}^{n}$ are in A.P then the value of $n$may be?

$5$

$6$

$7$

$8$

**Q.**

If 3rd, 4th, 5th and 6th terms in the expansion of (x+α)n be respectively a, b, c and d. prove that b2−acc2−bd=5a3c.

**Q.**

If the coefficients of three consecutive terms in the expansion of (1+x)n be 76, 95 and 76, find n.

**Q.**

Find the 11th term from the beginning and the 11th term from the end in the expansion of (2x−1x225)

**Q.**

If in the expansion of (1+y)n, the coefficients of 5th, 6th and 7th terms are in A.P., then n is equal to

7, 14

8, 16

None of these

7, 11

**Q.**

If the coefficients of (2r+1)th term and (r+2)th terms in the expansion of (1+x)43 are equal, find r.

**Q.**

If in the expansion of (1+x)n, the coefficients of three consecutive terms are 56, 70 and 56, then find n and the position of the terms of these coefficients.

**Q.**

Find the 7th term in the expansion of (4x5+52x)8

**Q.**

If in the expansion of (1+x)n, the coefficients of pth and qth terms are equal, prove that p+q =n+2, where p≠q.

**Q.**

If in the expansion of (x4−1x3)15, x−17 occurs in rth term, then

r=10

r=11

r=13

r=12

**Q.**

If the coefficient of the (n+1)th term and the (n+3)th termin the expansion of (1+x)20 are equal, then the value of n is

10

9

None of these

8

**Q.**

If the coefficient of x in (x2+λx)5 is 270, then λ=

5

4

3

None of these

**Q.**

If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x)n, n∈N are in A.P., then n =

7

14

2

None of these

**Q.**

If the expansion of (1+x)20, then coefficients of rth and (r+4)th terms are equal, then r is equal to

7

9

10

8

**Q.**

Find the 4th term from the beginning and 4th term from the end in the expansion of (x+2x)9

**Q.**

If the 2nd, 3rd and 4th terms in the expansion of (x+a)n and 240, 720 and 1080, find x, a, n.

**Q.**

How do you do cofactor expansion?

**Q.**

Find the 4th term from the end in the expansion of (4x5−52x)9

**Q.**

Find a, if the coefficients of x2 and x3 in the expansion of (3+ax)9 are equal.

**Q.**

Find the ratio of the coefficients of xn and xq in the expansion of (1+x)p+q.

**Q.**

Find the 7^{th} term from the end in the expansion of (2x2−32x)8

**Q.**

If in the expansion of (a+b)n and (a+b)n+3, the ratio of the coefficients of second and third terms, and third and fourth terms respectively are equal, then n is

6

3

4

5

**Q.**The sum of the numerical coefficients in the expansion of (1+x3+2y3)12 is

**Q.**

Find the 5th term from the end in the expansion of (3x−1x2)

**Q.**

If the 6th, 7th and 8th terms in the expansion (x+a)n are respectivley 112, 7 and 14, find x, a, n.