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Arithmetic Progressions

Question
CBSEENMA10007947
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The nth term of an A .P. is 7 – 4n find its common difference.

Solution

We have, an = 7 – 4n
an = 7 – 4 n
an = 7 – 4(1) = 7 – 4 = 3
a2 = 7 – 4 (2) = 7 – 8 = –1
and, a3 = 7 – 4 (3) = 7 – 12 = –5
Now, common difference (d) = a3 – a2 =– 5 + 1 = –4

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 = –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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