Step-4

Title: The general term of the arithmetic progression

Grade: 9-a Lesson: S3-L8

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Find the general term of the arithmetic progression
\$5\sqrt3,\sqrt3,-3\sqrt3,-7\sqrt3,-11\sqrt3,...\$

2

Step

The given sequence is \$5\sqrt3,\sqrt3,-3\sqrt3,-7\sqrt3,-11\sqrt3,...\$

3

Step

The first term is

\$a = 5\sqrt3\$

4

Step

The common difference is

\$d = \sqrt3 - 5\sqrt3 = - 4\sqrt3\$

5

Formula:

The general term of an AP is calculated by the formula

\$ a_n = a + (n-1)d\$

6

Hint

Substitute a,d values in formula

\$ a_n = (5\sqrt3) + (n-1)(- 4\sqrt3)\$

7

Step

The general term of the given AP is

\$ a_n = - 4\sqrt3n + 9\sqrt3\$

8

Answer

B

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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