CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Square of any odd number n can be expressed as sum of two consecutive numbers as
n2=n2−12+n2+12.

A
True
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
False
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A True
Let's pick a random odd number say 5
square of 5 is 25.
Given,
n2=n212+n2+12...(i)
Substituting 5 in (i)
52=5212+52+12
25=12+13...(ii)

Let's try it with another odd number 7
square of 7 is 49.
Substituting 7 in (i)
72=7212+72+12
49=24+25...(iii)

From (ii) and (iii),
We can conclude that square of any odd number n can be expressed as sum of two consecutive numbers as
n2=n212+n2+12.

Hence, True.


flag
Suggest Corrections
thumbs-up
9
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Interesting Patterns
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon