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Sequences and Series — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSequences and Series2 Marks
Question
Write the first five terms of the sequence whose $n^{th}$ term is $a _ { n } = \frac { n } { n + 1 }$
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Answer

Given: $a _ { n } = \frac { n } { n + 1 }$ Putting $n = 1, 2, 3, 4$ and $5,$ we get,
$a _ { 1 } = \frac { 1 } { 1 + 1 } = \frac { 1 } { 2 }$
$a _ { 2 } = \frac { 2 } { 2 + 1 } = \frac { 2 } { 3 }$
$a _ { 3 } = \frac { 3 } { 3 + 1 } = \frac { 3 } { 4 }$
$a _ { 4 } = \frac { 4 } { 4 + 1 } = \frac { 4 } { 5 }$
$a _ { 5 } = \frac { 5 } { 5 + 1 } = \frac { 5 } { 6 }$
Therefore, the first five terms are $\frac { 1 } { 2 } , \frac { 2 } { 3 } , \frac { 3 } { 4 } , \frac { 4 } { 5 }$ and $\frac { 5 } { 6 }.$

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