Q12 of 97 Page 180

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

Here given a₁= -1 and

………………1

To find out the first five terms of the sequence we will put

n = 2, 3, 4, 5 in the expression 1

Hence the first five terms of the sequence are

The corresponding series is

Find the indicated terms in each of the sequences in whose nth terms are:

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

a₁ = 3, a_n = 3a_{n – 1} + 2 for all n > 1

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

a₁ = a₂ = 2, a_n = a_n-1 -1, n > 2

The Fibonacci sequence is defined by

1 = a₁= a₂ and a_n = a_n-1 + a_{n – 2}, n > 2.

Find, for n = 1, 2, 3, 4, 5