Show that there is no A.P. which consist...

Show that there is no A.P. which consists of only distinct prime numbers.

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prime numbers.

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MODERN PUBLICATION-SEQUENCES AND SERIES-ILLUSTRATIVE EXAMPLES

Which term in the A.P. 5,2,-1,… is -22 ?
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Which term of the sequence, 4, 3 5/7, 3 3/7 …………. Is the first negativ...
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Which term of the sequence: 16-6i, 15-4i,14-2i………. Is pure imaginary?
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Show that there is no A.P. which consists of only distinct prime nu...
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The sum of first 12 terms of a G.P. is five times the sum of the first...
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If 7 times the 7th term of an AP is equal to 11 times its 11th term, s...
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Find the number of terms common to the two AP's 3,7,11,15.... 407 and...
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If the pth, qth and rt terms of an A.P. be x,y,z respectively show tha...
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Insert three numbers between 1 and 256 so that the resulting sequen...
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The arithmetic mean between two numbers is 10 and their geometric mean...
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The A.M. between two distinct positive numbers is twice the G.M. betwe...
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If one geometric mean G and two arithmetic means A1a n dA2 be inserted...
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Find all sequences which are simultaneously A.P. and G.P.
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The sum of first three terms of a G.P. is (13)/(12)and their product ...
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The product of first three terms of a G.P. is 1000. If 6 added to its ...
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If p,q,r are in A.P. while x,y,z are in G.P., prove that x^(q-r)y^(r-p...
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Find the sum to infinity of the series: 1+3/2+5/2^2+7/2^3+..........oo
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If the sum to infinity of the series: 3+(3+d).1/4+(3+2d).1/(4^(2))+………...
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Sum up the following series to n terms:3+7+14+24+37+…………..
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Find the nth term and the sum of n term of the series 6+9+21+69+261...
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