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Arithmetic Progressions

Short Answer Type

101. Find the sum of all even integers between 101 and 599.

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102. Find the sum of first natural numbers.

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103. Find the sum of all multiples of 5 lying between 101 and 999.

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104.

Find the sum of first 100 even natural numbers divisible by 5.

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105.

A manufacturer of T.V. sets produced 600 sets in the third year and 700 sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year find
(i) the production in the 1st year.
(ii) the production in the 10th year.
(iii) the total production in first 7 years.

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106. A man borrows Rs. 2000 and agrees to repay with a total interest of Rs. 400 in 12 instalments, each instalment being less than the preceding by Rs. 20. What should be his first instalments.

Solution not provided.
Ans. 310

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107. A man saves Rs. 32 during first year, Rs. 36 in the next year, Rs. 40 in the third year. If he continues his savings in this sequence, in how many years will he save Rs. 2000.

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108. If the sum of 7 terms of an A .P. is 49 and that of 17 terms is 289, find the sum of n terms.

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109. How many terms of the sequence 18, 16, 14,......should be taken so that their sum is zero.

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110. Find the common difference of an A .P., whose first term is 1 and the sum of the first four terms is one-third the sum of the next four terms.

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