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Arithmetic Progressions

Question
CBSEENMA10007456
Wired Faculty App

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

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Solution
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straight a subscript 2 minus straight a subscript 1 equals square root of 8 minus square root of 2 equals 2 square root of 2 minus square root of 2 equals square root of 2 straight a subscript 3 minus straight a subscript 2 equals square root of 18 minus square root of 8 equals 3 square root of 2 minus 2 square root of 2 equals square root of 2 straight a subscript 4 minus straight a subscript 3 equals square root of 32 minus square root of 18 equals 4 square root of 2 minus 3 square root of 2 equals square root of 2
i.e., ak + 1 ak is the same every time. So, the given list of numbers forms an A .P. with the common
difference d = square root of 2
The next three terms are :

Some More Questions From Arithmetic Progressions Chapter

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a – 10, d = 10

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = –2, d = 0

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = 4, d = – 3

Write first four terms of the AP, when the first term a and the common difference d are given as follows:

a = – 1.25, d = – 0.25

For the following APs, write the first term and the common difference
3, 1, – 1, – 3, . . .

For the following APs, write the first term and the common difference
– 5, – 1, 3, 7, . . .

For the following APs, write the first term and the common difference
0.6, 1.7, 2.8, 3.9, . . .

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