Binomial Theorem and Mathematical lnduction Test

Result

Binomial Theorem and Mathematical lnduction Test - 27

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Weekly Quiz Competition

Question 1
4 / -1

If the coefficients of 4^th term in the expansion of (a + b)ⁿ is 56, then n is

A
12

B
10

C
8

D
6
Question 2
4 / -1

If the second, third term in the expansion of (x + a)ⁿ are 240, 720 and 1080 respectively, then the value of n is

A
15

B
20

C
10

D
5
Question 3
4 / -1

The coefficient of x⁵ in the expansion of (x + 3)⁶ is

A
18

B
6

C
12

D
10
Question 4
4 / -1

The largest term in the expansion of (4 + 2x)⁴⁹ where x = 1/3 is

A
3^rd

B
5^th

C
8^th

D
None of these
Question 5
4 / -1

A
10

B
12

C
14

D
None of these
Question 6
4 / -1

A
3k - 1

B
3k

C
3k + 1

D
3k + 2
Question 7
4 / -1

The coefficient of xⁿ in expansion of (1 + x) (1 – x)ⁿ is

A
(–1)^{n – 1} n

B
(–1)ⁿ (1 – n)

C
(–1)^{n – 1} (n – 1)²

D
(n – 1)
Question 8
4 / -1

The greatest in the expansion of (1 + 3x)⁵⁴ where x = 1/3, is

A
T₂₈

B
T₂₅

C
T₂₆

D
T₂₄

Solution
Question 9
4 / -1

A
2ⁿ

B
2ⁿ – 1

C
0

D
2^n–1

Solution
Question 10
4 / -1

The sum of all the coefficients in the binomial expansion of (x² + x – 3)³¹⁹ is

A
1

B
2

C
–1

D
0

Solution

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Re-Attempt Weekly Quiz Competition

Binomial Theorem and Mathematical lnduction Test - 27

Result

Binomial Theorem and Mathematical lnduction Test - 27

Score

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SHARING IS CARING

Question 1

12

10

8

6

Question 2

15

20

10

5

Question 3

18

6

12

10

Question 4

3rd

5th

8th

None of these

Question 5

10

12

14

None of these

Question 6

3k - 1

3k

3k + 1

3k + 2

Question 7

(–1)n – 1 n

(–1)n (1 – n)

(–1)n – 1 (n – 1)2

(n – 1)

Question 8

T28

T25

T26

T24

Solution

Question 9

2n

2n – 1

0

2n–1

Solution

Question 10

1

2

–1

0

Solution

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3^rd

5^th

8^th

(–1)^{n – 1} n

(–1)ⁿ (1 – n)

(–1)^{n – 1} (n – 1)²

T₂₈

T₂₅

T₂₆

T₂₄

2ⁿ

2ⁿ – 1

2^n–1