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19. Arithmetic Progressions
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Q1 of 167 Page 20

Write the common difference of an A.P. whose nth term is xn + y.

Here, an=xn+ y


∴ a1=x + y


And a2=2x+y


So, common difference of an A.P. is given by


d=a2–a1


=(2x+y)-(x+y)


=x


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16

A man saved ₹ 66000 in 20 years. In each succeeding year after the first year he saved ₹ 200 more than what he saved in the previous year. How much did he saved in the first year?

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In a cricket team tournment 16 teams particpated a sum of 8000 is to to awarded among themselves a price money. It the last placed team is awarded 275 in price money and the award increased by the same amount for successive finishing place , how much amount will the first place team receive?

2

Write the common difference of an A.P. the sum of whose first n terms is .

3

If the sum of n terms of an AP is , then write its nth term.

Questions · 167
19. Arithmetic Progressions
1 2 3 4 4 4 5 6 6 6 6 7 8 1 1 1 2 3 3 3 4 4 5 5 6 6 7 8 9 10 11 12 13 14 15 15 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 1 1 1 1 1 1 1 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 1 2 3 4 4 5 5 5 6 7 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
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