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Consider the equation 1+6+11 + 16 + ... ...

Consider the equation 1+6+11 + 16 + ... +x= 148 If n is the number of terms in the sum, prove that `n=(x+4)/5`-

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Consider the A.P. 18,15,12.... Find the sum to n terms of the A.P.

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

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

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

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

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

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

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

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

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

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  11. Insert 6 arithmetic means between 3 and 24.

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

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  13. 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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  14. If a, b, c are in A.P, prove that 1/(bc),1/(ca),1/(ab) are also in A.P...

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  15. Suppose a, b, c are in A.P. Prove that (ab+bc+ca)/(bc),(ab+bc+ca)/(ca)...

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  16. Suppose a, b, c are in A.P.Prove that a(1/b+1/c),b(1/c+1/a),c(1/a+1/b)...

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

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

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  19. Suppose (b+c)/a,(c+a)/b,(a+b)/c are in A.P.Prove 1/a,1/b,1/c are also ...

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  20. Suppose (b+c)/a,(c+a)/b,(a+b)/c are in A.P.Prove 1/a,1/b,1/c are also ...

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