What is the sum of the following series? -64, -66, -68, ......, -100
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(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ......
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2
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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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3
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The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?
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4
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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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5
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The sum of first n odd natural numbers in
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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 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?
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8
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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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9
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Find the nth term of the following sequence :
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10
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The 7th and 21st terms of an AP are 6 and -22 respectively. Find the 26th term
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