NCERT Class X Chapter 5: Arithmetic Progression Example 2 (iii)

NCERT Class X Chapter 5: Arithmetic Progression Example 2(iii)

Question:

Which of the following list of numbers form an AP? If they form an AP, write the next two terms -2,2,-2,2,-2, . . .

Given:

The sequence is -2, 2, -2, 2, -2, . . .

To Find:

Whether the given sequence forms an AP. If it does, find the next two terms.

Formula:

In an Arithmetic Progression (AP), the difference between consecutive terms is constant. 

This constant difference is called the common difference (d).

Solution:

Let's examine the differences between consecutive terms:

2 - (-2) = 4

-2 - 2 = -4

Since the differences are not constant (4 and -4), the sequence does not have a common difference.

Therefore, the given sequence is not an arithmetic progression.

Result:

The sequence -2, 2, -2, 2, -2, ... is not an arithmetic progression.

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