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Prove that the sum of n number of terms ...

Prove that the sum of `n` number of terms of two different A.P. s can be same for only one value of `ndot`

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Show (m+n)th and (m-n)t h terms of an A.P. is equal to twice the mth ...

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  2. If the sum of three consecutive numbers in A.P., is 24 and their pr...

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  3. Prove that the sum of n number of terms of two different A.P. s can be...

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  4. In an A.P. if S1=T1+T2+T3+.....+Tn (n is odd)S2=T2+T4+T6+.........+T(n...

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  5. If the sum of the series 2, 5, 8, 11, ... is 60100, then find the valu...

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  6. The digits of a positive integer, having three digits, are in A.P. and...

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  7. If eleven A.M. ‘s are inserted between 28 and 10, then find the number...

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  8. Between 1 and 31, m numbers have been inserted in such a way that t...

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  9. Find the sum of first 24 terms of the A.P. a1,a2, a3 ......., if it i...

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  10. If the arithmetic progression whose common difference is nonzero the ...

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  11. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

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  12. If the first two terms of as H.P. are 2/5 and 12/13, respectively. The...

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  13. Insert five arithmetic means  between 8 and 26. or Insert five numbers...

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  14. If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove ...

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  15. Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of...

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  16. If a, b a n d c are in A.P., a x ,b y ,a n dc z in G.P. and x,y,z in H...

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  17. Find the sum of all three-digit natural numbers, which are divisible b...

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  18. If a ,b ,c ,and d are in H.P., then find the value of (a^(-2)-d^-2)/(b...

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  19. Prove that a sequence in an A.P., if the sum of its n terms is of the ...

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  20. The product of the three numbers in G.P. is 125 and sum of their pr...

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