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In which of the following situations, does the list of numbers involved make an arithmetic progression, and why?

The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

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2. 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.

409 Views

3. In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

717 Views

4. In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The amount of air present in a cylinder when a vacuum pump removes $1 fourth$ of the air remaining in the cylinder at a time.

Amount of air present in the cylinder = x units (say) = a₁Amount of air present in the cylinder after one time removal of air by the vacuum pump

$equals straight x plus straight x over 4 equals fraction numerator 3 straight x over denominator 4 end fraction space units space equals space straight a subscript 2$
Amount of air present in the cylinder after two times removal of air by the vacuum pump

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and so on,

$straight a subscript 1 minus straight a subscript 1 equals fraction numerator 3 straight x over denominator 4 end fraction minus straight x equals straight x over 4 space units$
$straight a subscript 3 minus straight a subscript 2 equals open parentheses 3 over 4 close parentheses squared straight x minus 3 over 4 straight x equals fraction numerator 3 straight x over denominator 4 end fraction space units.$
As a₃ – a₇ ≠ a₃ – a₂, this list of numbers does not form an A .P.

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5. 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.

399 Views

6. In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The amount of money in the account every year, when ` 10000 is deposited at compound interest at 8 % per annum.

156 Views

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

172 Views

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

194 Views

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

132 Views

10.

Write first four terms of the AP, when the first term a and the common difference d are given as follows:

a = – 1, d = $1 half$

131 Views

Previous Year Papers

Test Series

Test Yourself

Arithmetic Progressions

Short Answer Type

4. In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The amount of air present in a cylinder when a vacuum pump removes $1 fourth$ of the air remaining in the cylinder at a time.

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

4. In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?The amount of air present in a cylinder when a vacuum pump removes of the air remaining in the cylinder at a time.

4. In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The amount of air present in a cylinder when a vacuum pump removes $1 fourth$ of the air remaining in the cylinder at a time.