Let a 1 , a 2 , a 3 ,....., a 100 be an arithmetic progression with a 1 = 3 and S p = 
, 1 ≤ p ≤ 100.
For any integer n with 1 ≤ n ≤ 20, let m = 5n. If 
does not depend on n, then a 2 is
Text Solution
Verified by Experts3
3 or 9, both 3 and 9 (The common difference of the arithmatic progression can be either 0 or 6, and accordingly the second term can be either 3, or 9 ; thus the answers 3, or 9, or both 3 and 9 are acceptable.)
Sol. 
= 
= 
= 
; d = 6 or d = 0
Now if d = 0 then a 2 = 3 else a 2 = 9 for single choice more appropriate choice is 9, but in principal, question seems to have an error.
∴ a 2 = 3 + 6 = 9
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