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Let the sequence anbe defined as follows...

Let the sequence `a_n`be defined as follows : `a_1=1,a_n=a_(n-1)+2`for `ngeq2`. Find first five terms and write corresponding series.

Text Solution

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Here, `a_1 = 1`
As, `a_n = a_(n-1)+2`,
`:.a_2 = a_1+2 = 1+2 = 3`
`a_3 = a_2+2 = 3+2 = 5`
`a_4 = a_3+2 = 5+2 = 7`
`a_5 = a_4+2 = 7+2 = 9`
`a_6 = a_5+2 = 9+2 = 11`
So, the corresponding series will be `1,3,5,7,9,11,13,15...`.
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