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| fff A triangular garden has 44 plants in the first row. Each succeeding row has 10 more plants than the one before it. How many plants are there if the garden consists of 4 rows? fff |
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fff In an arithmetic series 3th term is 12 and 5th term is 48, then find the sum of the first 84 terms of the series.
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fff If a1 = 3 and a8 = 42 in an arithmetic series, then S8 = ?
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fff Find the sum of all the natural numbers between 1 and 400, which are multiples of 9.
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fff What is the common difference of the arithmetic series for which a12 - a10 = 76?
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| fff The sum of first n terms of an arithmetic series is 4n2 + 4n, then find the common difference. fff |
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| fff The sum of the first 20 terms of the arithmetic series 4 + 9 + 14 + 19 + ... is ______. fff |
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fff In the arithmetic series - 6, - 10, - 14, - 18,........., S9 is ________.
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fff In an arithmetic series if a1 = - 2, a8 = - 27, then S8 = ?
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fff In an arithmetic series, the sum of first 12 terms is 180 and the common difference is 10. What is the first term?
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fff What is the sum of first 36 odd natural numbers?
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fff In an arithmetic series if a1 = - 6 and S15 = 90, then find the value of a15.
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fff Find the sum of the first 14 terms of the arithmetic series.
4x + (5x + 6y) + (6x + 12y) + . . .
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fff If ∑n=13(2nx + 5) = 19, then find the value of x.
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DD What is the value of 12 + 22 + 32 + 42 + . . . + 302?
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| DD What is the value of 13 + 23 + 33 + ... + 163? DD |
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DD Find the sum to n terms in the series.
(a - 8) + (a - 12) + (a - 16) + ... DD |
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| DD Find the sum of the first 16 terms of the arithmetic sequence whose nth term is (8 + 3n). DD |
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| DD Find the sum of the first 6 terms of the arithmetic sequence whose nth term is (9 + 2n). DD |
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| DD A triangular garden has 41 plants in the first row. Each succeeding row has 8 more plants than the one before it. How many plants are there if the garden consists of 12 rows? DD |
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DD In an arithmetic series 2th term is 6 and 4th term is 24, then find the sum of the first 78 terms of the series.
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DD What is the common difference of the arithmetic series for which a11 - a6 = 145?
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DD Find the sum of all the natural numbers between 1 and 500, which are multiples of 5.
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| DD The sum of the first 18 terms of the arithmetic series 8 + 13 + 18 + 23 + ... is ______. DD |
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DD In the arithmetic series - 3, - 8, - 13, - 18,........., S13 is ________.
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DD If a1 = 4 and a16 = 34 in an arithmetic series, then S16 = ?
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DD In an arithmetic series if a1 = - 2, a4 = - 18, then S4 = ?
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DD Find (658 - 1)(658 - 2)(658 - 3) - - - - - - - -- - - - -- (658 - n) = _____ when n ≤ 1,000.
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DD What is the sum of first 12 odd natural numbers?
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DD In an arithmetic series if a1 = - 6 and S9 = 72, then find the value of a9.
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DD In an arithmetic series, the sum of first 16 terms is 592 and the common difference is 10. What is the first term?
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| DD The sum of first n terms of an arithmetic series is 5n2 + 7n, then find the common difference. DD |
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DD What is the value of 12 + 22 + 32 + 42 + . . . + 182?
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| DD What is the value of 13 + 23 + 33 + ... + 123? DD |
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DD Find the sum of the first 10 terms of the arithmetic series.
3x + (4x + 6y) + (5x + 12y) + . . .
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DD If ∑n=35(3nx + 11) = 31, then find the value of x.
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DD Find the sum to n terms in the series.
(a - 11) + (a - 16) + (a - 21) + ... DD |
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DD The sum of n terms of the series 3 + 9 + 15 + 21 + . . . . . . is 768, then find the value of n.
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DD If n is odd, then find the sum of first n terms of the series.
a - (a+d) + (a + 2d) - (a + 3d) + . . . . . .
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DD Find the value of n so that 3+5+7+9+..........n terms7+11+15+.......... 16 terms = 9.
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DD If Sn denotes the sum of n terms of an AP, which of the following is same as 3(S28 - S14)?
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| DD If 23 + 43 + . . . . . . + (2n)3 = k n2(n + 1)2, then find the value of k. DD |
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| DD Find the coefficient of x63 in (x - 1) (x - 2) (x - 3) . . . . (x - 64) when expanded as a power series in x. DD |
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DD In an arithmetic series whose first term is 70, nth term is - 10 with common difference as - 5. Find the sum of first n terms of the series.
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DD For a particular value of n, the nth term of 4 + 12 + 20 + . . . and 189 + 192 + 195 + . . . are equal. Find the value of n.
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| DD In an arithmetic series if a1 = - 5 and S10 = 50, then find the value of a11. DD |
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DD In an arithmetic series whose first term is 94, nth term is - 4 with common difference as - 2. Find the sum of first n terms of the series.
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DD If the sum of the roots of the quadratic equation ax2 + bx + c = 0 is equal to sum of the squares of their reciprocals then ab, bc, ca are in ________
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