Find the nth term of the following sequence :
5 + 55 + 555 + . . . . Tn
5(10n - 1)
5n(10n - 1)
5/9×(10n−1)
(5/9)n×(10n−1)
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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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2
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The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?
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3
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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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4
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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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5
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If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be
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6
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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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7
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The sum of first five multiples of 3 is:
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8
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The 3rd and 8th term of an arithmetic progression are -13 and 2 respectively. What is the 14th term?
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9
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If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is
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10
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If a + 1, 2a + 1, 4a - 1 are in A.P., then the value of a is:
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