JEE PYQ: Sequence And Series Question 1
Question 1 - 2021 (16 Mar Shift 1)
Consider an arithmetic series and a geometric series having four initial terms from the set ${11, 8, 21, 16, 26, 32, 4}$. If the last terms of these series are the maximum possible four digit numbers, then the number of common terms in these two series is equal to _______.
Show Answer
Answer: (3)
Solution
GP: 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
AP: 11, 16, 21, 26, 31, 36
Common terms: 16, 256, 4096 only