Between two numbers whose sum is 216, an even number of arithmetic means are inserted. If the sum of these means exceeds their number by unity, then the number of means are
see full answer
High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET
🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya
a
12
b
10
c
8
d
None of these
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Let 2n arithmetic means be A1, A2, A3, …, A2n between a and b. Then A1+A2+A3+…+A2n=a+b2×2n=1362×2n=13n6Given, A1+A2+A3+…+A2n=2n+1∴ 2n+1=13n6; or 12n+6=13n∴ n=6∴ The number of means =2n=2×6=12.
Not sure what to do in the future? Don’t worry! We have a FREE career guidance session just for you!
Between two numbers whose sum is 216, an even number of arithmetic means are inserted. If the sum of these means exceeds their number by unity, then the number of means are