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Arithmetic Progressions

Question

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If k^th term of an $straight A. space straight P. space 5 1 half comma space 11 comma space 16 1 half comma space 22 comma space......$ is 550 then the value of 'K' is
(a) 99 (b) 101 (c) 100 (d) 102

Solution

550 equals 5 1 half plus left parenthesis straight n minus 1 right parenthesis cross times 11 over 2 rightwards double arrow 550 minus 11 over 2 equals left parenthesis straight n minus 1 right parenthesis 11 over 2 rightwards double arrow fraction numerator 1100 minus 11 over denominator 2 end fraction equals left parenthesis straight n minus 1 right parenthesis cross times 11 over 2 rightwards double arrow 1089 over 11 equals straight n minus 1 rightwards double arrow 100

Ans. (c)

Some More Questions From Arithmetic Progressions Chapter

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.

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, . . .

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