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Arithmetic Progressions

Question
CBSEENMA10007932
Wired Faculty App

Find the next term of the A. P.
Which term of the A.P. 21, 18, 15.....is zero?

Solution

Here,   a = 21,  d = 18 - 21 = -3 and an = 0
space space because      an = a + (n -1) d
rightwards double arrow       0  = 21 + (n -1) (- 3)
rightwards double arrow       3 (n - 1) = 21
rightwards double arrow        3n = 24
rightwards double arrow space space space space space straight n space equals space 24 over 3 equals 8
Hence, eighth term is zero.

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 taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

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, . . .

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