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 \(\frac{{{S_1}}}{{{S_2}}}\)
\(\frac{{2n}}{{n + 1}}\)
\(\frac{n}{{n + 1}}\)
\(\frac{{n + 1}}{{2n}}\)
\(\frac{{n  1}}{n}\)
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1
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The first and last term of an A.P. is a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \(\frac{{{l^2}  {a^2}}}{{k  \left( {l + a} \right)}}\) then k = ?
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2
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How many 2digit positive integers are divisible by 4 or 9?
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3
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Find the 15th term of the sequence 20, 15, 10 . . . . .
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4
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The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?
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5
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If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?
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6
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If log 2, log (2^{x} 1) and log (2^{x} + 3) are in A.P, then x is equal to ___
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7
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The 3rd and 6th term of an arithmetic progression are 13 and 5 respectively. What is the 11th term?
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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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9
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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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10
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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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