Chapter 12: Q. 4 (page 838)

In Problems 1– 4, write down the first five terms of each sequence.
$a_{1} = 2 a_{n} = 2 - a_{n - 1}$

Short Answer

Expert verified

The first five terms of the sequence are: $2, 0, 2, 0, 2$

Step by step solution

Given information.

General term of the sequence:

$a_{n} = 2 - a_{n - 1}$

First term of the sequence: $a_{1} = 2$

Step 2. Substitute first four integral value of n starting from 2 in the expression anand solve.

Second term:

$a_{2} = 2 - a_{2 - 1} = 2 - a_{1} = 2 - 2 = 0$

Third term:

$a_{3} = 2 - a_{3 - 1} = 2 - a_{2} = 2 - 0 = 2$

Fourth term:

$a_{4} = 2 - a_{4 - 1} = 2 - a_{3} = 2 - 2 = 0$

Fifth term:
$a_{5} = 2 - a_{5 - 1} = 2 - a_{4} = 2 - 0 = 2$

So, first five term of the sequence are:

2, 0, 2, 0, 2

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In Problems 1– 4, write down the first five terms of each sequence.
$a_{1} = 2 a_{n} = 2 - a_{n - 1}$

Short Answer

Step by step solution

Given information.

Step 2. Substitute first four integral value of n starting from 2 in the expression anand solve.

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In Problems 1– 4, write down the first five terms of each sequence. a1=2an=2-an-1

Short Answer

Step by step solution

Given information.

Step 2. Substitute first four integral value of n starting from 2 in the expression anand solve.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Logic and Functions

Geometry

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

In Problems 1– 4, write down the first five terms of each sequence.
$a_{1} = 2 a_{n} = 2 - a_{n - 1}$