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If 10 times the 10^(th) term of the A.P ...

If 10 times the `10^(th)` term of the A.P is equal to 15 times `15^(th)` term, show that the 25th term is 0

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If m times the m^(th) term of an A.P is equal to n times its n^(th) term, show that the (m + n)^(th) term of the AP is zero.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Suppose that the first and the 5^(th) terms of an A.P. are-14 and 2 re...

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  2. If a is the first term and d is the common difference of an A.P, what ...

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  3. If 10 times the 10^(th) term of the A.P is equal to 15 times 15^(th) t...

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  4. Suppose that three numbers are in A.P. If the sum of the three numbers...

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  5. Suppose that three numbers are in A.P.if the sum of the three numbers ...

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  6. Suppose that four numbers are in A.P. Let the four numbers be a-3d, a-...

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  7. Suppose that four numbers are in A.P. Let the four numbers be a-3d, a-...

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  8. Consider the A.P. 18,15,12.... Find the sum to n terms of the A.P.

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  9. Consider the A.P. 18,15,12.... How many terms are needed to give the s...

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  10. Consider the equation 1+6+11 + 16 + ... +x= 148 If n is the number of ...

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  11. Consider the equation 1+6+11 + 16 + ... +x= 148 Prove that x^2+5x-1476...

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  12. Consider the equation 1+6+11 + 16 + ... +x= 148 Solve the given equati...

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  13. If S1,S2 and S3 are respectively the sums of n, 2n and 3n terms of an ...

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  14. If S1,S2 and S3 are respectively the sums of n, 2n and 3n terms of an ...

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  15. Find the number of integers between 100 and 800 each of which on divis...

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  16. Find the number of integers between 100 and 800 each of which on divis...

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  17. If x1,x2,x3,x4,x5 and x6 are the 6 terms between 3 and 24, find the co...

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  18. Insert 6 arithmetic means between 3 and 24.

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  19. Suppose that a, b, c are in A.P. Prove that 2b = a + c

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  20. Suppose that a, b, c are in A.P. Prove that a^2(b+c),b^2(c+a),c^2(a+b)...

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