Write the first five terms of the sequences whose n^th term is a_n = (2n - 3)/6.

Solution:

nth term is given as a_n = (2n - 3)/6

Substituting n = 1, 2, 3, 4, 5

a₁ = (2(1) - 3)/6 = - 1/6

a₂ = (2(2) - 3)/6 = 1/6

a₃ = (2(3) - 3)/6 = 1/2

a₄ = (2(4) - 3)/6 = 5/6

a₅ = (2(5) - 3)/6 = 7/6

Therefore, the required terms are - 1/6, 1/6, 1/2, 5/6, 7/6

NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.1 Question 4

Write the first five terms of the sequences whose n^th term is a_n = (2n - 3)/6

Summary:

It is given that the nth term of the sequence is a_n = (2n - 3)/6. Therefore, the required terms are- 1/6, 1/6, 1/2, 5/6, 7/6