Find the nth term of the following sequence :
5(10n - 1)
5n(10n - 1)
\(\frac{5}{9} \times \left( {{{10}^n} - 1} \right)\)
\({\left( {\frac{5}{9}} \right)^n} \times \left( {{{10}^n} - 1} \right)\)
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The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is
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2
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The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?
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3
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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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4
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If Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn , then S3n : Sn is equal to
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5
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If an A.P. has a = 1, tn = 20 and sn = 399, then value of n is :
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6
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If sum of n terms of an A.P. is 3n2 + 5n and Tm = 164 then m =
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7
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If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is
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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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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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10
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In an A.P., if d = -4, n = 7, an = 4, then a is
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