If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is :
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What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?
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Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
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A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :
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What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
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5
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(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ......
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6
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If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is
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7
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A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas all the square.
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8
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Consider an infinite G.P. with first term a and common ratio r, its sum is 4 and the second term is 3/4, then
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If the sum of n terms of an A.P. is 3n2 + 5n then which of its terms is 164 ?
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Sum of n terms of the series \(\sqrt 2 + \sqrt 8 + \sqrt {18} + \sqrt {32} + \) ....... is
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