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Question
For a sequence (tn), if Sn = 5(2n - 1) then tn = ______.
Options
5 (2n+1)
`(5 xx 2^"n")/4`
5 (2n-1)
`(2 xx (2^("n-1")))/5`
MCQ
Fill in the Blanks
Solution
For a sequence (tn), if Sn = 5(2n - 1) then tn = 5 (2n-1).
Explanation:
We have, Sn = 5(2n - 1)
We know that, `"a"_"n" = "S"_"n" - "S"_("n - 1")`
= 5(2n - 1) - 5(2n-1 - 1)
= 5(2n - 2n-1)
= 5(2n-1)
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