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Arithmetic Progressions
Question
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Find the 10th term from the end of the following A .P. :
(i) 1. 6, 11, 16............201
(ii) 3, 6, 9, 12........... 102

Answer

(i) We have, l = 201,d = 5
∴ 10th term from the end
= l – (n –1) d
= 201 – (10 – 1)5
= 201 – 45 = 156.
(ii) We have, l = 102, d = 3,
∴ 10th term from the end
= l – (n – 1)d
= 102 – (10 – 1)3
= 102 – 27 = 75.

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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, . . .