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# Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: a_{1} = 3, a_{n} = 3a_{n }_{- 1} + 2 for all n > 1

**Solution:**

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

a_{1} = 3, a_{n} = 3a_{n }_{- 1} + 2 for all n > 1

a_{2} = 3a_{1} + 2 = 3(3) + 2 = 11

a_{3} = 3a_{2} + 2 = 3(11) + 2 = 35

a_{4} = 3a_{3} + 2 = 3(35) + 2 = 107

a_{5} = 3a_{4} + 2 = 3(107) + 2 = 323

Hence, the first five terms of the sequence are 3, 11, 35, 107, and 323.

The corresponding series is 3 + 11+ 35 + 107 + 323 + ....

NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.1 Question 11

## Write the first five terms of the following sequence and obtain the corresponding series: a_{1} = 3, a_{n} = 3a_{n }_{- 1} + 2 for all n > 1

**Summary:**

We had to find out the first five terms of the sequence where a_{1} = 3, a_{n} = 3a_{n }_{- 1} + 2 for all n > 1. Therefore the first five terms of the sequence are 3, 11, 35, 107, and 323

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