Questions  

The largest term common to the sequences 1, 11, 21, 31…….. to 100 terms and 31, 36, 41, 46……. to 100 terms is

Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
a
381
b
471
c
281
d
521
NEW

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is D

100th  term 1, 11, 21, 31, ….. is 1+ (100 -1) 10 = 991.100th term of 31, 36, 41, 46…. Is 31+ (100-1) 5 = 526.Let the largest common term be 526. Then,526 = 31+(n-1) 10  ⇒n=50.5But n is an integer, hence n=50. Hence , the largest common term is 31+50−110=521

prepare smarter

with latest test series, free mock tests, and classes
NEET AITSIIT JEE AITSLive ClassFree Mocks

ctaimg

Similar Questions

If the sum of first n terms of an AP is cn2, then the sum of squares of these  n terms is 

Want to Improve your productivity
talk to our academic experts now !!

counselling
india
+91

whats app icon