# Observe the following patternAnd find the values of each of the following.(i) (ii)

R.H.S = [(No. of terms in L.H.S) × (No. + 1) × (2 × No. + 1)]

(i) 12 + 22 + 32 + 42 + …… + 102 = [10 (10 + 1) × (2 × 10 + 1)]

= [2310]

= 385

(ii) 52 + 62 +….. + 122 = 12 + 22 + ….. 122 – (12 + 22 + 33 + 42)

= [12 × (12 + 1) × (2 × 12 + 1)] - [4 ×(4 + 1) × (2 × 4 + 1)]

= 650 – 30

= 620

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Goprep Genius Quiz | Squares and Square Roots34 mins
Champ Quiz | Square and Square roots32 mins
Squaring Using Geometry.43 mins
Finding Square Root of Numbers - I37 mins
Lets learn about Perfect Squares40 mins
Know Shortcuts for Square Root34 mins
Squares of Numbers35 mins
NCERT | Interesting Patterns in Square Numbers36 mins
Champ Quiz | Square Roots and Cube roots40 mins
Imp. Concepts of Square and Square Root42 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