JEE Main 2022 Mathematics question
Let 3, 6, 9, 12, … upto 78 terms and 5, 9, 13, 17, … upto 59 terms be two series. Then, the sum of terms common to both the series is equal to .
Answer: 2223
Solution
The first series is 3k (k = 1, …, 78), whose last term is 234. The second is 5 + 4(j − 1) = 4j + 1 (j = 1, …, 59), whose last term is 237. The common terms are 9, 21, 33, … (an A.P. with first
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