Step-1

Title: Geometric progression

Grade: 9-a Lesson: S4-L6

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Write the next four terms of the given geometric progression : 2,6,18,…​

2

Step

The given geometric series is 2,6,18,…​

3

Step

We know that geometric progression is a series of numbers in which each term is obtained by multiplying the previous term by a fixed number, known as the common ratio.

4

Formula:

common ratio of the given geometric series is given by

\$ r = (r_2)/(r_1) = 6/2 = 3\$

5

Step

The next number after 18 is obtained by multiplying 18 with the common ratio (r=3)

\$ 18 \times 3 = 54 \$

6

Step

The next number after 54 is obtained by multiplying 54 with the common ratio (r=3)

\$ 54 \times 3 = 162 \$

7

Step

The next number after 162 is obtained by multiplying 162 with the common ratio (r=3)

\$ 162 \times 3 = 486 \$

8

Step

The next number after 486 is obtained by multiplying 486 with the common ratio (r=3)

\$ 486 \times 3 = 1458 \$

9

Step

The next four terms of the given geometric series are 54,162,486,1458

10

Answer

D

Tutor: Questions

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1

Problem

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2

Clue

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3

Hint

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4

Step

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5

Step

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