# Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: a_{1} = a_{2} = 2, a_{n} = a^{n - 1} - 1, n > 2

**Solution:**

The sequence is a list of numbers (or items) that exhibits a particular pattern.

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

⇒ a_{3} = a_{2} - 1 = 2 - 1 = 1

a_{4} = a_{3} - 1 = 1 - 1 = 0

a_{5} = a_{4} - 1 = 0 - 1 = - 1

Hence, the first five terms of the sequence are 2, 2, 1, 0 and - 1

The corresponding series is 2 + 2 + 1 + 0 + (- 1) + ....

NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.1 Question 13

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

**Summary:**

It is given that the sequence is a_{1} = a_{2} = 2, a_{n} = a^{n - 1} - 1, n > 2. Therefore, the first five terms are 2, 2, 1, 0 and - 1

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