# NCERT Class 11-Math's: Chapter –9 Sequence and Series Part 5

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## Objective Type Questions

Choose the correct answer out of the four given options in Examples 14 to 23 (M.C.Q.).

Question 14:

A sequence may be defined as a

(A) Relation, whose range (natural numbers)

(B) Function whose range

(C) Function whose domain

(D) Progression having real values

Solution (C) is the correct answer.

A sequence is a function having domain

Question 15:

If are positive integers then value of expression is

(A)

(B)

(C)

(D)

(B) Is the correct answer, since

A.M. > GM.,

Multiplying the three inequalities, we get

Or,

Question 16:

In a G.P. of positive terms, if any term is equal to the sum of the next two terms. Then the common ratio of the G.P. is

(A)

(B)

(C)

(D)

(D) Is the correct answer, since

Therefore,

Question 17:

In an A.P. the term is q and the term is . Then the term is

(A)

(B

(C)

(D)

(B) Is the correct answer

Let be the first term and common difference respectively.

Therefore,

Subtracting (1), from (2) we get

Substituting in (1) we get

Now

Question 18:

Let be the sum, be the product and R be the sum of the reciprocals of terms of a G.P. Then is equal to

(A)

(B) (Common ratio)

(C) (First term) (common ratio)

(D) None of these