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
a = 7/4, r = 3/7
a = 2, r = 3/8
a = 3, r = 1/4
a = 3/2, r = ½
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What is the sum of the first 17 terms of an arithmetic progression if the first term is -20 and last term is 28?
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2
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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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3
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Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is
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4
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The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the sequence are:
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5
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Sum of n terms of the series \(\sqrt 2 + \sqrt 8 + \sqrt {18} + \sqrt {32} + \) ....... is
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6
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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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7
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The sum of first n odd natural numbers in
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8
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The sum of first five multiples of 3 is:
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9
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If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 is the sum of the terms of the series in odd places, then \(\frac{{{S_1}}}{{{S_2}}}\)
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10
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What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2?
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