Sequence And Series Question 87
Question: The largest term common to the sequences 1, 11, 21, 31 ,..to 100 terms and 31, 36, 41, 46,..to 100 terms is
Options:
381
471
281
D) none of these
Show Answer
Answer:
Correct Answer: D
Solution:
$ 100^{th} $ term of 1, 11, 21, 31, ?is 1+ (100-1) 10=991. $ 100^{th} $ 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 Or n=50.5 But n is an integer; hence n=50. Hence, the larg3est common terms is 31+(50-1)10=521.
BETA
