wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Assertion :1 The sum of the series1+(1+2+4)+(4+6+9)+(9+12+16)+.+(361+380+400) is 8000 Reason: nt=1(k3(k1)3)=n3 for any natural number n.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Assertion is correct but Reason is incorrect
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Both Assertion and Reason are incorrect
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Since,nk=1k2=16n(n+1)(2n+1)
nk=1k=12n(n+1) & nk=11=n
general term of the series is,
Tn=(n1)2+n(n1)+n2=3n23n+1
=[n3(n1)3]=n2(n+1)(2n+1)32n(n+1)+n
when n=20, then,
20n=1Tn=202(20+1)(40+1)32.20.21+20
=8610630+20=8000
So option (A) is correct.

1146641_1144097_ans_209fb9dec08d4b19a59bf8570b88c22b.jpeg

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 1
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon