NCERT Class 11-Math's: Chapter –9 Sequence and Series Part 5
Doorsteptutor material for ISAT is prepared by world's top subject experts: Get full length tests using official NTA interface: all topics with exact weightage, real exam experience, detailed analytics, comparison and rankings, & questions with full solutions.
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)
Answer:
(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)
Answer:
(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)
Answer:
(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
Answer:
(A) Is the correct answer
Let us take a G.P. with three terms . Then
Therefore, the ratio is