Displaystyle - a - 1 - a - 2 -2- a - n - a - n-1 -1-n-2

Question

Toppr Admin · Accepted Answer

A1-a2-2-an-an-x2212-1-x2212-1-n-gt-2-x21D2-a3-a2-x2212-1-2-x2212-1-1a4-a3-x2212-1-1-x2212-1-0a5-a4-x2212-1-0-x2212-1-x2212-1Hence - the first five terms of the sequence are 2-2-1-0 and -x2212-1-Corresponding series is 2-2-1-0-x2212-1-

$a_{1} = a_{2} = 2, a_{n} = a_{n - 1} - 1, n > 2$

$a_{1} = a_{2} = 2, a_{n} = a_{n - 1} - 1, n > 2$
$\Rightarrow a_{3} = a_{2} - 1 = 2 - 1 = 1 a_{4} = a_{3} - 1 = 1 - 1 = 0 a_{5} = a_{4} - 1 = 0 - 1 = - 1$
Hence , the first five terms of the sequence are $2, 2, 1, 0$ and $- 1$ .
Corresponding series is $2 + 2 + 1 + 0 + (- 1) + . . .$

a1=a2=2,an=an−1−1,n>2

a1=a2=2,an=an−1−1,n>2⇒a3=a2−1=2−1=1a4=a3−1=1−1=0a5=a4−1=0−1=−1Hence , the first five terms of the sequence are 2,2,1,0 and −1.Corresponding series is 2+2+1+0+(−1)+...

$a_{1} = a_{2} = 2, a_{n} = a_{n - 1} - 1, n > 2$

$a_{1} = a_{2} = 2, a_{n} = a_{n - 1} - 1, n > 2$
$\Rightarrow a_{3} = a_{2} - 1 = 2 - 1 = 1 a_{4} = a_{3} - 1 = 1 - 1 = 0 a_{5} = a_{4} - 1 = 0 - 1 = - 1$
Hence , the first five terms of the sequence are $2, 2, 1, 0$ and $- 1$ .
Corresponding series is $2 + 2 + 1 + 0 + (- 1) + . . .$