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The sum of three Consecutive terms of an...

The sum of three Consecutive terms of an A.P. is 15 and sum of their Squares is 83. Find the terms.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Find three numbers in A.P. : whose sum is 24 and Product is 440.

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  2. The sum of the first three terms of an A.P. is 36 while their product ...

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  3. The sum of three Consecutive terms of an A.P. is 15 and sum of their S...

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  4. The sum of three consecutive terms of an A.P. is 9 and the sum of thei...

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  5. Split 69 into three parts in A.P. such that the product of the two sma...

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  6. Solve the equation : 1+6+11+ 16+.....+x= 148

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  7. Solve the equation : 2+5+8+ 11+...... +x = 345.

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  8. The sum of four numbers in A.P. is 4 and their product is 385. Find th...

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  9. Find four terms in A.P. whose sum is 20 and the sum of whose squares i...

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  10. We are given an A.P. with 1st term a and common difference d. If ea...

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  11. We are given an A.P. with 1st term a and common difference d. If eac...

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  12. If a, b, c are in A.P., prove that : b+c,c+a,a+ b are also in A.P.

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  13. If a, b, c are in A.P., prove that : 1/(sqrtb+sqrtc), 1/(sqrtc+sqrta...

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  14. If a, b, c are in A.P., prove that : (b+c)^2-a^2, (c+a)^2-b^2, (a+b)...

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  15. If 1/a,1/b,1/c are in A.P., prove that : (b + c)/a, (c + a)/b, (a + ...

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  16. If 1/a,1/b,1/c are in A.P., prove that : a(b + c), b(c + a), c(a + b...

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  17. If a+b+c ne 0 and (b + c)/a, (c + a)/b, (a + b)/c are in A.P., prove ...

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

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

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  20. Find 'r' and write the fourth term of the following progressions : ...

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