Q64.If the sum of the first 15 terms of the series ( 43 ) 3 + (1 12 ) 3 + (2 14 ) 3 + 33 + (3 34 ) 3 + … then K is equal to : (1) 9 (2) 27 (3) 54 (4) 108
What This Question Tests
The question requires identifying the pattern within the series terms (bases form an AP) and then applying the formula for the sum of cubes of the first 'n' natural numbers.
Concepts Tested
Formulas Used
Σn³ = [n(n+1)/2]²
📚 NCERT Sections This Tests
1.4 — Concentrated Nitric Acid Used In Laboratory Work Is 68% Nitric Acid By Mass In
Chemistry Class 11 · Chapter 1
1.4 Concentrated nitric acid used in laboratory work is 68% nitric acid by mass in aqueous solution. What should be the molarity of such a sample of the acid if the density of the solution is 1.504 g mL–1? 27 Solutions Reprint 2025-26
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
1.15 — What Is The Net Flux Of The Uniform Electric Field Of Exercise 1.14
Physics Class 11 · Chapter 1
1.15 What is the net flux of the uniform electric field of Exercise 1.14 through a cube of side 20 cm oriented so that its faces are parallel to the coordinate planes?
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Sum of powers of arithmetic progression terms
- Year
- 2019
- Shift
- 12 Jan Shift 2
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences & Series
More from this Chapter
Q86.In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals (1) 1 2 (1 −√5) (2) 21 √5 (3) √5 (4) 12 (√5 −1)
Q88.The sum of the series 2! 1 −13! + 4!1 −… upto infinity is (1) e−2 (2) e−1 (3) e−1/2 (4) e1/2
Q71.Statement - 1: For every natural number n ≥2, 1 + 1 + … + 1 > √n. Statement −2 : For every √1 √2 √n natural number n ≥2, √n(n + 1) < n + 1. (1) Statement −1 is false, Statement −2 is true (2) Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1 (3) Statement −1 is true, Statement −2 is true; (4) Statement −1 is true, Statement −2 is false. Statement −2 is not a correct explanation for Statement −1.
Q76.The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is (1) −4 (2) −12 (3) 12 (4) 4