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| c 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? c |
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c 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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c If a1 = 3 and a8 = 42 in an arithmetic series, then S8 = ?
c |
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c Find the sum of all the natural numbers between 1 and 400, which are multiples of 9.
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| c The sum of first n terms of an arithmetic series is 4n2 + 4n, then find the common difference. c |
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| c The sum of the first 20 terms of the arithmetic series 4 + 9 + 14 + 19 + ... is ______. c |
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c In the arithmetic series - 6, - 10, - 14, - 18,........., S9 is ________.
c |
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c In an arithmetic series if a1 = - 2, a8 = - 27, then S8 = ?
c |
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c 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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c What is the sum of first 36 odd natural numbers?
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c In an arithmetic series if a1 = - 6 and S15 = 90, then find the value of a15.
c |
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c Find the sum of the first 14 terms of the arithmetic series.
4x + (5x + 6y) + (6x + 12y) + . . .
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c If ∑n=13(2nx + 5) = 19, then find the value of x.
c |
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BBB What is the value of 12 + 22 + 32 + 42 + . . . + 302?
BBB |
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| BBB What is the value of 13 + 23 + 33 + ... + 163? BBB |
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BBB Find the sum to n terms in the series.
(a - 8) + (a - 12) + (a - 16) + ... BBB |
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BBB 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.
BBB |
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| BBB Find the sum of the first 6 terms of the arithmetic sequence whose nth term is (9 + 2n). BBB |
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| BBB 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? BBB |
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BBB 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.
BBB |
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BBB What is the common difference of the arithmetic series for which a11 - a6 = 145?
BBB |
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BBB Find the sum of all the natural numbers between 1 and 500, which are multiples of 5.
BBB |
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| BBB The sum of the first 18 terms of the arithmetic series 8 + 13 + 18 + 23 + ... is ______. BBB |
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BBB In the arithmetic series - 3, - 8, - 13, - 18,........., S13 is ________.
BBB |
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BBB If a1 = 4 and a16 = 34 in an arithmetic series, then S16 = ?
BBB |
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BBB In an arithmetic series if a1 = - 2, a4 = - 18, then S4 = ?
BBB |
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BBB In an arithmetic series if a1 = - 6 and S9 = 72, then find the value of a9.
BBB |
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BBB What is the common difference of the arithmetic series for which a12 - a10 = 76?
BBB |
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BBB In an arithmetic series, the sum of first 16 terms is 592 and the common difference is 10. What is the first term?
BBB |
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| BBB The sum of first n terms of an arithmetic series is 5n2 + 7n, then find the common difference. BBB |
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BBB What is the value of 12 + 22 + 32 + 42 + . . . + 182?
BBB |
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| BBB What is the value of 13 + 23 + 33 + ... + 123? BBB |
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BBB Find the sum of the first 10 terms of the arithmetic series.
3x + (4x + 6y) + (5x + 12y) + . . .
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BBB Find (658 - 1)(658 - 2)(658 - 3) - - - - - - - -- - - - -- (658 - n) = _____ when n ≤ 1,000.
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BBB If ∑n=35(3nx + 11) = 31, then find the value of x.
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BBB Find the sum to n terms in the series.
(a - 11) + (a - 16) + (a - 21) + ... BBB |
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BBB What is the sum of first 12 odd natural numbers?
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BBB The sum of n terms of the series 3 + 9 + 15 + 21 + . . . . . . is 768, then find the value of n.
BBB |
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BBB 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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BBB Find the value of n so that 3+5+7+9+..........n terms7+11+15+.......... 16 terms = 9.
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BBB If Sn denotes the sum of n terms of an AP, which of the following is same as 3(S28 - S14)?
BBB |
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| BBB Find the sum of the first 16 terms of the arithmetic sequence whose nth term is (8 + 3n). BBB |
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| BBB Find the coefficient of x63 in (x - 1) (x - 2) (x - 3) . . . . (x - 64) when expanded as a power series in x. BBB |
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BBB 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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BBB 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.
BBB |
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| BBB If 23 + 43 + . . . . . . + (2n)3 = k n2(n + 1)2, then find the value of k. BBB |
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| BBB In an arithmetic series if a1 = - 5 and S10 = 50, then find the value of a11. BBB |
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BBB 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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