Q11 of 74 Page 9

a1 = 3 an = 3an – 1 + 2, for all n > 1


a1 = 3

an = 3an – 1 + 2, for all n > 1

For n = 2, a2 = 3an – 1 + 2, for all n > 1

= 3a1 + 2 = 3 × 3 + 2 = 11
For n = 3, a3 = 3a2 + 2 = 3 × 11 + 2 = 35
For n = 4, a4 = 3a3 + 2 = 3 × 35 + 2 = 107
For n = 5, a5 = 3a4 + 2 = 3 × 107 + 2 = 323

Hence the required sequence is

3, 11, 35, 107, 323+……..

Corresponding series

= 3 + 11 + 35 + 107 + 323+……..

More from this chapter

All 74 →
9
Find the indicated terms in each of the sequences. whose nth terms are an = (-1)n – 1n3, a9

10
Find the indicated terms in each of the sequences. whose nth terms are an =

12
Write the first five terms of each of the sequence in obtain the corresponding series a1 = -1, an = an-1/n, (n ≥ 2)

13
Write the first five terms of each of the sequence in obtain the corresponding series a1 = a2 = 2, an = an-1 – 1, (n > 2)