NCERT Class X Chapter 5: Arithmetic Progression Example 2 (i)
NCERT Class X Chapter 5: Arithmetic Progression Example 2(i)
Question:
Which of the following list of numbers form an AP? If they form an AP, write the next two terms : (i) 4, 10, 16, 22, . . .
Given:
The list of numbers is 4, 10, 16, 22, . . .
To Find:
1. Whether the given list of numbers forms an AP.
2. If they form an AP, 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 the given list of numbers be a1, a2, a3, a4, ...
a1 = 4
a2 = 10
a3 = 16
a4 = 22
Let's find the common difference (d):
d = a2 - a1 = 10 - 4 = 6
d = a3 - a2 = 16 - 10 = 6
d = a4 - a3 = 22 - 16 = 6
Since the common difference is constant (d = 6), the given list of numbers forms an AP.
To find the next two terms, we add the common difference to the last term:
a5 = a4 + d = 22 + 6 = 28
a6 = a5 + d = 28 + 6 = 34
Result:
The given list of numbers forms an AP with a common difference of 6.
The next two terms are 28 and 34.
Next question solution:
NCERT Class X Chapter 5: Arithmetic Progression Example 2 (ii).
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