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SEQUENCES AND SERIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSEQUENCES AND SERIES1 Mark
Question
Let the sequence $a_n$ be defined as follow: $a_1=1, a_n=a_{n-1}+2$ for $n \geq 2$
Find first five terms and write corresponding series.
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Answer

Given,
$a_1=1, a_2=a_1+2=1+2=3, a_3=a_2+2=3+2=5$
$a_4=a_3+2=5+2=7, a_5=a_4+2=7+2=9$
Thus, the first five terms of the sequence are $1,3,5,7$ and 9
The corresponding series is $1+3+5+7+9+\ldots$

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