Question

Write the first five terms in each of the following sequence:
$a_1=a_2=2,a_n$ $=a_{n-1}-1,n>2$

Answer 1

We have,

$a_1=a_2{a}_1=2a_2=2a_n=a_{n-1}-1$

Put

$n=3a_3=a_2-1$

$a_3=2-1=1$

Put $n=4$

$a_4=a_3-1=1-1=0$

Put $n=5$

$a_5=a_4-1=0-1=-1$

Hence, this is the answer.