Step-4

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 three terms of the given geometric progression : 3,9,27,…​

2

Step

The given geometric series is 3,9,27,…​

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) = 9/3 = 3\$

5

Step

The next number after 27 is obtained by multiplying 27 with the common ratio (r=3)

\$ 27 \times 3 = 81 \$

6

Step

The next number after 81 is obtained by multiplying 81 with the common ratio (r=3)

\$ 81 \times 3 = 243 \$

7

Step

The next number after 243 is obtained by multiplying 243 with the common ratio (r=3)

\$ 243 \times 3 = 729 \$

8

Step

The next three terms of the given geometric series are 81,243,729

9

Answer

D

Tutor: Questions

Seq Type Question Audio

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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