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Arithmetic Progressions

Question
CBSEENMA10007946
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The nth term of an A .P. is 6n + 2 find its common difference.

Solution

We have, an = 6n + 2
a1 = 6(1) + 2 = 6 + 2 = 8
a2 = 6(2) + 2 = 12 + 2 = 14
and, a3 = 6(3) + 2 = 18 + 2 = 20
Now, common difference (d)
= a3 – a2 = 20 – 14 = 6

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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