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Arithmetic Progressions

Question

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How many three-digit numbers arc divisible by 7?
(a) 127 (b) 128 (c) 129 (d) 130

Solution

Use space colon space straight a subscript straight n equals straight a left parenthesis straight n minus 1 right parenthesis straight d rightwards double arrow 994 equals 105 plus left parenthesis straight n minus 1 right parenthesis 7 equals straight n equals 128

Ans. (b)

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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