Write the first five terms of the following sequence and obtain the corresponding series :
$a_{1}=a_{2}=2, a_{n}=a_{n-1}-1, n\,>\,2$
Write the first five terms of the following sequence and obtain the corresponding series :
$a_{1}=a_{2}=2, a_{n}=a_{n-1}-1, n\,>\,2$
$a_{1}=a_{2}=2, a_{n}=a_{n-1}-1, n\,>\,2$
$\Rightarrow a_{3}=a_{2}-1=2-1=1$
$a_{4}=a_{3}-1=1-1=0$
$a_{5}=a_{4}-1=0-1=-1$
Hence, the first five terms of the sequence are $2,2,1,0$ and $-1$
The corresponding series is $2+2+1+0(-1)+\ldots$
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- [JEE MAIN 2024]