Write the first five terms in the following sequences: a_1= a_2 =… - Vidyadip

Question

Write the first five terms in the following sequences:$\text{a}_1=\text{a}_2=2,\text{a}_\text{n}=\text{a}_{\text{n}-1}-1,\text{n}>2$

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Answer

$\text{a}_1=\text{a}_2=2$
$\text{a}_\text{n}=\text{a}_{\text{n}-1}-1\ \text{n}>2$
$\Rightarrow\text{a}_3=\text{a}_{3-1}-1$
$=\text{a}_2-1$
$=2-1=1$
$\Rightarrow\text{a}_4=\text{a}_{4-1}-1$
$=\text{a}_3-1=1-1=0$
$\Rightarrow\text{a}_5=\text{a}_{5-1}-1$
$=0-1=-1$
$\therefore$ The first 5 terms of the sequence are 2, 2, 1, 0, -1

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