Question # 1

The middle term in the expansion of (a +x)¹²is

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7th

8th

9th

6th

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

If the 4th term in the expansion of (px + x^-1)^mis 2.5 for all x∈ R, then

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The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

The coefficient of xn in the expansion of (1-2x)-1 is

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(-1)n2n

2n

(-1)(n+1)xr

(n+1)2n

The sum of the coefficient in the expansion of (a + x)⁵is

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32

16

8

5

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The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

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1

4

2

8

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

The greatest term in the expansion of (3+2x)⁹, when x=1 is

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4th

4th and 5th

5th

6th

There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

The 5th term of (3a-2b)^-1is

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

1+3x+6x2 +10x3 +....=

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

(1 + 2x)⁴= ______

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1 + 4x + 6x²+ 4x³+ x⁴

1 - 4x + 6x²- 4x³+ x⁴

1 - 8x + 24x²- 32x³+ 16x⁴

1 + 8x+ 24x²+ 32x³+ 16x⁴

If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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If n is odd then the middle terms in the expansion of (a + x)ⁿare

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is

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7

8

9

10

If | x | < 1, then the first two terms of (1 - x)^1/2are

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The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

The expansion (1 + x)^-3holds when

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|x| > 1

|x| < 1

x < 1

x > 1

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Mathematics ECAT Pre Engineering Chapter 10 Mathematical Inductions Online Test MCQs With Answers

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