Write the first five terms of the sequence and obtain the corresponding series:
$a_{1} = a_{2} = 2, a_{n} = a_{n - 1} - 1, n > 2$

Open in App

Solution

Given,

$a_{1} = a_{2} = 2$

Formula,

$a_{n} = a_{n - 1} - 1$

$a_{3} = a_{3 - 1} - 1$

$= a_{2} - 1 = 2 - 1 = 1$

$a_{4} = a_{4 - 1} - 1$

$= a_{3} - 1 = 1 - 1 = 0$

$a_{5} = a_{5 - 1} - 1$

$= a_{4} - 1 = 0 - 1 = - 1$

Hence the first five terms of the series are:

$2, 2, 1, 0, - 1$

Suggest Corrections

Similar questions

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

Write the first five terms of each of the sequences in obtain the corresponding series :

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

a_{1} = - 1, a_{n} = \frac{a_{n - 1}}{n}, n \geq 2

a_{1} = 3, a_{n} = 3 a_{n - 1} + 2

n > 1

Write the first five terms of each of the sequence and obtain the corresponding series :

$a_{1} = 3, a_{n} = 3 a_{n - 1} + 2 for all n > 1$

Join BYJU'S Learning Program