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5. Arithmetic Progression
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Q1 of 67 Page 74

The common difference of two arithmetic progression is the same. The first term of one of them is 8 and of the second is 3. Then difference of their 30th term is :

Since the common difference of both the term is same.
∴ each term will change by same number.
⇒ Difference of their 30th term is same as difference of their 1st term.
⇒ Difference of 30th term = Difference of 1st term = 8 – 3 = 5.

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9

A sum of 280 is to be used to give four prizes. If after first prize, each prize is 20 less than the preceding prize, then find the value of each of the prizes.

10

A manufacture of TV sets produces 600 TV sets in the third year and 700 TV sets in seventh year. Assuming that the production increases, uniformly by a fixed number every year, find
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(iii) the total production in first 7 years.

2

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3

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Questions · 67
5. Arithmetic Progression
1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 1 1 1 2 2 2 2 3 4 5 6 7 8 9 10 1 1 1 2 2 3 3 4 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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