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If Sn denotes the sum of first n terms o...

If `S_n` denotes the sum of first n terms of an A.P. prove that `S_12=3(S_8-S_4)`.

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KALYANI PUBLICATION-ARITHMETIC PROGRESSION-EXERCISE
  1. If Sn denotes the sum of first n terms of an A.P. prove that S12=3(S8-...

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  2. Identify which of the following sequence is in A.P. Also find the firs...

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  3. Identify which of the following sequence is in A.P. Also find the firs...

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  4. Identify which of the following sequence is in A.P. Also find the firs...

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  5. Identify which of the following sequence is in A.P. Also find the firs...

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  6. Identify which of the following sequence is in A.P. Also find the firs...

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  7. Identify which of the following sequence is in A.P. Also find the firs...

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  8. 4/5,a,2 are three consecutive terms of an A.P.,find a,also the common ...

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  9. If m+2,4m-6 and 3m-2 are three consecutive terms of an A.P., find the ...

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  10. If 8x+3,6x+2 and2x+7 are three consecutive terms of an A.P. Find x.

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  11. For what value of p are 2p+1,13,5p-3 three consecutive terms of an A.P...

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  12. Find the value of x for which x^2-7x,x^2+9and 6 are in A.P.

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  13. If x^2-5x-4, 2x^2-x-6 and x^2+4x-2 be three consecutive terms of an A....

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  14. If x^2+3x+8,2x^2-4x-12 and 3x^2+4x+13 are three consecutive terns of a...

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  15. If 3x-2y+1,2x+3y+9,2x+y be three consecutive terms of an A.P. find x,y...

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  16. If 2x+3y-2, -3x+2y-4 and -3x+4y-5 be three consecutive terms of an A.P...

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  17. Show that 1/(sqrt 2+sqrt 3),1/(sqrt 3+1),1/(sqrt 2+1) are in A.P.

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  18. Show that 1/(3+sqrt 7)+ 1/(sqrt7+sqrt5)+ 1/(sqrt5+sqrt3)+1/(sqrt3+1)=1

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  19. Show that 1/(sqrt11+3),1/(sqrt13+3),1/(sqrt11+sqrt13) are in A.P.

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  20. Sum of three positive integers in A.P. is 48. The product of smaller t...

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  21. Sum of three positive integers in A.P. is 90. The product of smaller t...

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