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

Q70. Find the next number in the given number series:

1, 2, 9, 28, 65, 126, ?

दी गई संख्या श्रृंखला में अगली संख्या ज्ञात कीजिए?

1, 2, 9, 28, 65, 126, ?


A

217

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

216

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

218

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

219

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

The correct option is A

217


The original series is: 1, 2, 9, 28, 65, 126, ?

We can see that the elements in the above series are in the following format:

N3 + 1, where N = position of the element in the series, starting from 0.

Thus, the first element = 03 + 1 = 0 + 1 = 1

Second element = 13 + 1 = 1 + 1 = 2

Third element = 23 + 1 = 8 + 1 = 9

Fourth element = 33 + 1 = 27 + 1 = 28

Fifth element = 43 + 1 = 64 + 1 = 65

Sixth element = 53 + 1 = 125 + 1 = 126

Thus, the seventh element = 63 + 1 = 216 + 1 = 217

Hence, 217 is the required answer.

वास्तिक श्रेणी हैः 1, 2, 9, 28, 65, 126, ?

हम देख सकते हैं कि उपर्युक्त श्रेणी में अवयव निम्नलिखित प्रारूप में हैं:

N3 + 1, जहां N = 0 से आंरभ होकर श्रेणी में अवयवों की स्थिति।

इस प्रकार, पहला अवयव = 03 + 1 = 0 + 1 = 1

दूसरा अवयव = 13 + 1 = 1 + 1 = 2

तीसरा अवयव = 23 + 1 = 8 + 1 = 9

चौथा अवयव = 33 + 1 = 27 + 1 = 28

पांचवां अवयव = 43 + 1 = 64 + 1 = 65

छठवां अवयव = 53 + 1 = 125 + 1 = 126

इस प्रकार, सातवां अवयव = 63 + 1 = 216 + 1 = 217

अतः, 217 वांछित उत्तर है।


flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Sum of Consecutive Numbers
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon