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Ramkali would need ₹1800 for admission fee and books etc., for her daughter to start going to school from next year. She saved ₹50 in the first month of this year and increased her monthly saving by ₹20. After a year, how much money will she save? Will she be able to fulfil her dream of sending her daughter to school?

[5] Arithmetic Progressions
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There are 25 trees at equal distances of 5 metres in a line with a well, the distance of the well from the nearest tree being 10 metres. A gardener waters all the trees separately starting from the well and he returns to the well after watering each tree to get water for the next. Find the total distance the gardener will cover in order to water all the trees.

[5] Arithmetic Progressions
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A man is employed to count Rs 10710. He counts at the rate of Rs 180 per minute for half an hour. After this he counts at the rate of Rs 3 less every minute than the preceding minute. Find the time taken by him to count the entire amount.

[5] Arithmetic Progressions
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A piece of equipment cost a certain factory Rs 60,000. If it depreciates in value, 15% the first, 13.5% the next year, 12% the third year, and so on. What will be its value at the end of 10 years, all percentages applying to the original cost?

[5] Arithmetic Progressions
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If Sn denotes the sum of the first n terms of an A.P., prove that S30 = 3(S20 − S10)

 
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Write the common difference of an A.P. whose nth term is an = 3n + 7.

 
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Which term of the sequence 114, 109, 104, ... is the first negative term?

 
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Write the value of a30 − a10 for the A.P. 4, 9, 14, 19, ....

 
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Write 5th term from the end of the A.P. 3, 5, 7, 9, ..., 201.

 
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Write the value of x for which 2xx + 10 and 3x + 2 are in A.P.

 
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Write the nth term of an A.P. the sum of whose n terms is Sn.

 
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Write the sum of first n odd natural numbers.

 
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Write the sum of first n even natural numbers.

 
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If the sum of n terms of an A.P. is Sn = 3n2 + 5n. Write its common difference.

 
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Write the expression of the common difference of an A.P. whose first term is a and nth term is b.

[5] Arithmetic Progressions
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The first term of an A.P. is p and its common difference is q. Find its 10th term.

 
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For what value of p are 2p + 1, 13, 5p − 3 are three consecutive terms of an A.P.?

 
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If `4/5` , a, 2 are three consecutive terms of an A.P., then find the value of a

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If the sum of first p term of an A.P. is ap2 + bp, find its common difference.

 
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Write the nth term of the \[A . P . \frac{1}{m}, \frac{1 + m}{m}, \frac{1 + 2m}{m}, . . . .\]

 
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