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Arithmetic Progressions

Question

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The n^th term of AP is 7 – 4n then the common difference is
(a) 4 (b) –3 (c) –4 (d) -5

Solution

straight a subscript straight n equals 7 minus 4 straight n comma space straight a subscript 1 equals 7 minus 4 equals 3 comma space straight a subscript 2 equals 7 minus 4 cross times 2 equals negative 1 comma space therefore space space straight d space equals space minus 1 minus 3 space equals space minus 4

Ans. (c)

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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