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Arithmetic Progressions

Question

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In an A .P.
(i) given a = 5, d = 3, T_n = 50, find n and S_n.
(ii) given a = 6, d = 4, T_n = 50 find n and S_n.
(iii) given a = 7, d = 6, T_n = 43, find n and S_n.

Solution

Solution not provided.
Ans. (i) 16; 44, (ii) 12; 336 (iii) 7; 175

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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