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There are four numbers in A. P., the sum...

There are four numbers in A. P., the sum of the two extremes is 8, and the product of the middle two is 15. What are the numbers?

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ICSE-SEQUENCE AND SERIES -EXERCISE 14 (d)
  1. Find the A.M. between: ( cos theta + sin theta )^(2) and ( cos the...

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  2. Find the A.M. between: (x+y)^(2) and (x-y)^(2)

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  3. Insert : (i) 3 arithmetic means between 5 and 17 . (ii) 4 arithmet...

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  4. Find two numbers whose product is 91 and whose A.M. is 10.

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  5. If p arithmetic means are inserted between a and b, prove that d = (b-...

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  6. The sum of three numbers in A.P. is 33, and the sum of their squares i...

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  7. There are four numbers in A. P., the sum of the two extremes is 8, and...

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

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  9. The angles of a triangle are in A.P. If the greatest angle is double t...

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  10. The sum of the first three consecutive terms of an A.P. is 9 and the s...

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  11. a(1),a(2),a(3),a(4),a(5), are first five terms of an A.P. such that a(...

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  12. The angles of a quadrilateral are in A.P. and the greatest angle is do...

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

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  14. If (1)/(x) , (1)/(y) , (1)/(z) are A.P. show that xy,zx,yz are in A....

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  15. If (1)/(x) , (1)/(y) , (1)/(z) are A.P. show that xy,zx,yz are in A....

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  16. If (1)/(x) , (1)/(y) , (1)/(z) are A.P. show that (y+z)/(x) , (z+x)/...

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  17. If (b+c)^(-1), (c+a)^(-1), (a+b)^(-1) are in A.P. then show that (a)/(...

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  18. If (b+c-a)/(a) , (c+a-b)/(b) , (a+b-c)/(c) are in A.P. then prove that...

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  19. If x ,y,z are in A.P. show that (xy)^(-1) , (zx)^(-1) , (yz)^(-1) are ...

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

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