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

Find a1+a6+a11+a16 if it is known that a1,a2, ___________ is an A.P. and a1+a4+a7+a10+a13+a16=147.

Open in App
Solution

We know that in AP the sum of first and last term is equal to second and second last term and so

a1+a4+a7+a10+a13+a16=147

(a1+a16)+(a4+a13)+(a7+a10)=147

(a1+a16)=(a4+a13)=(a7+a10)=1473=49

So asked values,

a1+a16+a11+a6=(a1+a16)+(a11+a6)=2(a1+a16)=2×49=98


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Sum of First N Natural Numbers
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon