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Arithmetic Progressions

Question

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Which term of AP; 121, 117, 113,.....is its first negative terms ?
(a) 31 (b) 33 (c) 32 (d) 34

Solution

straight a subscript straight n less than 0 rightwards double arrow 1216 plus left parenthesis straight n minus 1 right parenthesis left parenthesis negative 4 right parenthesis less than 0 comma space rightwards double arrow left parenthesis straight n minus 1 right parenthesis 4 greater than 0 rightwards double arrow 121 over 4 plus 1 rightwards double arrow straight n greater than 125 over 4 therefore space straight n greater than 31 1 fourth space space therefore space straight n space equals 32

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 – 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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