Question # 1

If a statement P(n) is true for n = 1 and truth of P(n) for n = k implies the truth of P(n) for n = k + 1, then P(n) is true for all:

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integers n

real numbers n

positive real numbers n

positive integers n

The middle terms of (x+y)²³ are:

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T₁₀,T₁₁

T₁₁,T₁₂

T₁₂,T₁₃

none of these

The middle term in the expansion of (1+x)^1/2 is:

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T₂

T₃

does not exist

none of these

Number of terms in the expansion of (x+y)⁶ is:

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7

6

2

8

Number of terms in the expansion of (a+b)ⁿ is:

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n

n+1

n-1

none of these

The middle term of (x-y)¹⁸ is:

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9th

10th

11th

none of these

In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals:

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none of these

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2x

x²

1

none of these

In binomial expansion (a+b)ⁿ, n is positive integer the sum of coefficients equals:

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none of these

In binomial expansion of (a+b)ⁿ, n is positive integer the sum of odd coefficients equals:

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none of these

The middle term in the expansion of (a+b)²⁰ is;

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10^th term

11^thterm

12^thterm

13^thterm

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T₆

T₇

T₈

T₅

If n is a positive integer, then the binomial co-efficient equidistant form the beginning and the end in the expansion of (x+a)ⁿ are:

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same

not same

additive inverse of each other

none of these

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