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

# Extending the same logic you’ve seen in the video so far, find out the sum of the first 10 natural numbers. (You can use S10=1+2+3+…+10 and proceed)

A

10×11

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

(10×11)2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

(10×2)11

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B (10×11)2 Let us proceed as we have seen in the video to add 4 numbers. Let S10 denote the sum to first 10 natural numbers. S10=1+2+3+4+5+6+7+8+9+10 ----(1) Reversing the numbers and adding will not change the sum and hence, S10=10+9+8+7+6+5+4+3+2+1 ----(2) Adding equation (1) & (2) 2S10=11+11+11+11+11+11+11+11+11+11 2S10=11×10 ⇒ S10=(11×10)2=55

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Sum of Terms in AP
MATHEMATICS
Watch in App
Join BYJU'S Learning Program