NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 4 (i)

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 4 (i)

Question:

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms. 2, 4, 8, 16, . . .

Given:

The sequence: 2, 4, 8, 16, . . .

To Find:

Whether the given sequence is an AP. If it is an AP, find the common difference (d) and the next three 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 find the differences between consecutive terms:

4 - 2 = 2

8 - 4 = 4

16 - 8 = 8

Since the differences between consecutive terms are not constant, the given sequence is not an arithmetic progression (AP).

Result:

The sequence 2, 4, 8, 16, ... is not an AP.

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