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Arithmetic Progressions

Question
CBSEENMA10007534
Wired Faculty App

Find the number of terms in each of the following APs :

space space space 18 comma space 15 1 half comma space 13 comma space....... comma space minus 47

Solution
bold space bold space bold space bold 18 bold comma bold space bold 15 bold 1 over bold 2 bold comma bold space bold 13 bold comma bold space bold. bold. bold. bold. bold. bold. bold. bold comma bold space bold minus bold 47
Here,    a= 18
            straight d space equals space 15 1 half minus 18 equals 31 over 2 minus 18 equals negative 5 over 2
And,      an = -47
Let the number of terms be n.
Then,      an = -47
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Hence, the number of terms of the given A .P. is 27.

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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