NCERT MCQ CLASS-11 CHAPTER-9 | MATH NCERT MCQ | SEQUENCES AND SERIES | EDUGROWN

In This Post we are  providing Chapter-9 Sequences and Series NCERT MCQ for Class 11 Math  which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MCQ ON SEQUENCES AND SERIES

Question 1. If in A.P., S_n = qn2 and Sm = qm², where S_r denotes the sum of r terms of the A.P., then Sq equals    
(a) q³/2
(b) mnq
(c) q³
(d) (m + n)q²

Answer :  C

Question 2. If tn denotes the n th term of the series 2 + 3 + 6 + 11 + 18 + … then t50 is    
(a) 492 – 1
(b) 492
(c) 502 + 1
(d) 492 + 2

Answer :  D

Question 3. The sum to 200 terms of the series 1 + 4 + 6 + 5 +11 + 6 + ………. is     
(a) 31,200
(b) 29,800
(c) 30,200
(d) None of these

Answer :  C

Question 4. If the sum of the series 54 + 51 + 48 + ……….. is 513, then the number of terms are     
(a) 18
(b) 20
(c) 17
(d) None of these

Answer :  A

Question 5. The sum of 11 terms of an A.P. whose middle term is 30,     
(a) 320
(b) 330
(c) 340
(d) 350

Answer :  B

Question 6. If the sum of the first 2n terms of 2, 5, 8, ……. is equal to the sum of the first n terms of 57, 59,61……., then n is equal to    
(a) 10
(b) 12
(c) 11
(d) 13

Answer :  C

Question 7. There are four arithmetic means between 2 and –18. The means are    
(a) –4, –7, –10, –13
(b) 1, –4, –7, –10
(c) –2, –5, –9, –13
(d) –2, –6, –10, –14

Answer :  D

Question 8. 2, 3, 5 are the following terms of an A.P.:    
(a) 2nd, 3rd, and 5th
(b) 4th, 9th and 25th
(c) 4th, 6th, and 10th
(d) none of the above

Answer :  D

Question 9. The first term of an infinite G.P. is 1 and each term is twice the sum of the succeeding terms. then the sum of the series is    
(a) 2
(b) 3
(c) 3/2
(d) 5/2

Answer :  C

Question 10. The sum of the first nine terms of an arithmetic progression is 171. Which one of the following statements is not correct about this A.P.?   
(a) The sum of the first and the ninth terms cannot be determined
(b) No term of the A.P. can be determined
(c) The first term of the A.P. cannot be  determined
(d) The common difference cannot be determined

Answer :  A

Question 11. If the nth term of an arithmetic progression is 3n + 7, then what is the sum of its first 50 terms?    
(a) 3925
(b) 4100
(c) 4175
(d) 8200

Answer :  C

Question 12. What is the value of 91/3. 91/19. 91/27…… ∞ ?    
(a) 9
(b) 3
(c) 91/3
(d) 1

Answer :  B

Question 13. The minimum value of the expression    
3^x + 3^{1 – x}, x ∈ R, is
(a) 0
(b) 1/3
(c) 3
(d) 2√3

Answer :  D

Question 14. At the end of each year the value of a certain machine has depreciated by 20% of its value at the beginning of that year. If its initial value was `₹1250, the value at the end of 5 years is    
(a) 409.6
(b) 409
(c) 408
(d) 409.5

Answer :  A

Question 15. An even number of AM are inserted between two numbers whose sum is 13/6. If the sum of means exceeds their number by 1, what is the number of means?    
(a) 8
(b) 18
(c) 12
(d) 6

Answer :  C