Question
Question: The number of common terms to the sequence 17, 21, 25,......, 417 and 16, 21, 26,......,466 is/are-...
The number of common terms to the sequence 17, 21, 25,......, 417 and 16, 21, 26,......,466 is/are-
A
21
B
19
C
20
D
None
Answer
20
Explanation
Solution
Ist common term = 21
common difference = 20
Tn = 21 + (n –1) 20 = 20 n +1
20n + 1 £ 417 ̃ 20n £ 416
̃ n £ 20
20 terms