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

Without formal addition, find the sum of 1+3+5+7+9+11+13+15.

A
46
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
64
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
36
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
49
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 64Need to find:–––––––––––––––– Value of 1+3+5+7+9+11+13+15 without formal addition ∙ Sum of first 2odd terms––––––––––––– =1+3=4=22–– ∙ Sum of first 3odd terms––––––––––––– =1+3+5=9=32–– ∙ Sum of first 4odd terms––––––––––––– =1+3+5+7=16=42–– . . . Hence, we can conclude: Sum of first n odd numbers equals to n2. ∴1+3+5+7+9+11+13+15= Sum of first 8– odd numbers =82=64–––––––– Hence, the value of the sum 1+3+5+7+9+11+13+15 would be equal to 64. Therefore, option (b.) is the correct answer.

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
Perfect Squares
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program