Step-3

Title: Common ratio

Grade: 9-a Lesson: S4-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Is a,3a,5a,7a,9a.. an arithmetic progression ?

2

Step

Given series is: a,3a,5a,7a,9a..

3

Clue

Let

\$ a_1 = a,a_2 = 3a,a_3 = 5a\$

4

Formula:

Common difference

\$ d = a_2 - a_1\$

5

Hint

Substitute \$a_1,a_2\$ values in formula

\$d = 3a - a \$

6

Step

After simplification

\$ d = 2a \$

7

Clue

Substitute \$a_2,a_3\$ values in formula

\$d = a_3 - a_2 = 5a - 3a \$

8

Step

After simplification

\$ d = 2a \$

9

Step

Hence,the common difference is

2a

10

Step

Therefore,the sequence a,3a,5a,7a,9a.. is an arithmetic progression

11

Tutor: Questions

Seq Type Question Audio

1

Problem

What did you learn from this problem?

2

Clue

What did you learn from the clues?

3

Hint

What did you learn from the Hints?

4

Step

What did you learn from the Steps?

5

Step

How can we improve the Steps?


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