Q. 6

# Write the cubes 5 natural numbers of the from 3n+2(i.e.5,8,11….) and verify the following:“The cube of a natural number of the form 3n+2 is a natural number of the same form i. e. when it is dividend by 3 the remainder is 2’

First 5 natural numbers in form ( 3n + 2 ) are = 5 , 8 , 11 , 14 , 17

Cubes of these numbers are,

= 53 = 5 × 5 × 5 = 125

= 83 = 8 × 8 × 8 = 512

= 113 = 11 × 11 × 11 = 1331

= 143 = 14 × 14 × 14 = 2744

= 173 = 17 × 17 × 17 = 4313

We find that all these cubes give remainder 2 when divided by 3..

Hence statement is true.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Cubes and Cube Roots41 mins
Extra Qs. of Cubes and Cube Roots43 mins
Quiz | Cubes and Cube Roots41 mins
Quiz | Practice More Questions on Cube and Cube Roots27 mins
Champ Quiz | Cube and Cube Roots46 mins
Champ Quiz | Square Roots and Cube roots40 mins
NCERT | Imp. Qs. on Cubes and Cube Roots47 mins
Quiz | Solve Imp. Qs. of Cube and Cube Roots39 mins
Champ Quiz | Cubes and Cube Roots33 mins
Goprep Genius Quiz | Squares and Square Roots34 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses