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Question
Write the first five terms of the following sequences whose nth term are:
`a_n = (n - 2)/3`
Solution
`a_n = (n - 2)/3`
Given sequence `a_n = (n - 2)`
To write first five terms of given sequence `a_n = (n - 2)/3`
put n = 1, 2, 3, 4, 5 then we get
`a_ 1 = (1 - 2)/3 = (-1)/3; a_2 = (2 - 2)/3 = 0`
`a_3 = (3-2)/3 = 1/3; a_4 = (4 -2)/3 = 2/3`
`a_5 = (5 - 2)/3 = 1`
∴ The required first five terms of given sequence `a_n = (n -2)/3` are `(-1)/3,0,1/3,2/3,1`
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