Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: a₁ = - 1, a_n = a_{n - 1} / n; n ≥ 2

Solution:

a₁ = - 1, a_n = a_{n - 1} / n

for all n ≥ 2

a₂ = a₁ / 2 = - 1/2

a₃ = a₂ / 3 = - 1/6

a₄ = a₃ / 4 = - 1/24

a₅ = a₄ / 5 = - 1/120

Hence, the first five terms of the sequence are - 1, - 1/2, - 1/6, - 1/24, - 1/120.

The corresponding series is (- 1) + (- 1/2) + (- 1/6) + (- 1/24) + (- 1/120) .....

NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.1 Question 12

Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: a₁ = - 1, a_n = a_{n - 1} / n ; n ≥ 2.

Summary:

The first five terms of the sequence where a₁ = - 1, a_n = a_{n - 1} / n for all n ≥ 2 are - 1, - 1/2, - 1/6, - 1/24, - 1/120