An A.P. consists of n terms. If the sum ...

An A.P. consists of n terms. If the sum of its first three terms is x and the sum of the last three terms is y, then show that, the sum of all the terms of the A.P. is `(n)/(6)(x+y)`.

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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Short Answer Type Questions)

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The nth term of a series in A.P. is an + b. Find the sum of the series...
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Find the sum of the series 1^(2) - 2^(2) - 3^(2) - 4^(2) + 5^(2) - 6^(...
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The perpendicular of a right angled triangle is 9 cm and the three sid...
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If the xth term of an A.P. is (1)/(y) and its yth term is (1)/(x) then...
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An A.P. consists of n terms. If the sum of its first three terms is x ...
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The sum of first p terms of an A.P. is (p^(2))/(n) and the sum of its ...
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If the A.M. of (1)/(b-a) and (1)/(b-c) is (1)/(2(b-x)), then show that...
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A farmer undertakes to pay off a debt of Rs. 2700 by monthly instalmen...
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A person pays Rs.975 in monthly instalments, each instalment is less t...
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If 1 paisa is saved today, 2 paise next day, 3 paise succeeding day an...
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The cost of sinking a tubewell is 25 paise for the first metre and an ...
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The rate of monthly salary of an office assistant is increased annuall...
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The angles of a polygon are in A.P. lying common difference 5^(@). If ...
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