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A day full of math games & activities. Find one near you.
Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: a1 = 3, an = 3an - 1 + 2 for all n > 1
Solution:
The sequence is a list of numbers (or items) that exhibits a particular pattern.
a1 = 3, an = 3an - 1 + 2 for all n > 1
a2 = 3a1 + 2 = 3(3) + 2 = 11
a3 = 3a2 + 2 = 3(11) + 2 = 35
a4 = 3a3 + 2 = 3(35) + 2 = 107
a5 = 3a4 + 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: a1 = 3, an = 3an - 1 + 2 for all n > 1
Summary:
We had to find out the first five terms of the sequence where a1 = 3, an = 3an - 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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