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If the sum of first n,2n,3n terms of an A.P. be `S_1`,`S_2` and `S_3` respectively then prove that `S_3=3(S_2-S_1)`

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KALYANI PUBLICATION-ARITHMATIC PROGRESSION-EXERCISE
  1. Find the sum of all two digit natural numbers which when divided by 3 ...

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  2. Find the sum of all two digit numbers greater than 50 which when divid...

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  3. If the sum of first n,2n,3n terms of an A.P. be S1,S2 and S3 respectiv...

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  4. If the sum of first n,2n,3n terms of an A.P. be S1,S2 and S3 respectiv...

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  5. A sum of ₹700 is to be used to given seven cash prizes to students of ...

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  6. A contract on construction job specifies a penalty for delay of comple...

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  7. 40 coins are placed in a straight line on a ground.The distance betwee...

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  8. For the A.P.3/2, 1/2, -1/2,-3/2write the first term and common differe...

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  9. Find K if 10,K,-2 are in A.P.

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  10. Are 4,4,4…in A.P.

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  11. If a be the first term and d be the common difference write the three ...

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  12. If a be the first term and d be the common difference write the four c...

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  13. Fill up the gap 2,5,8,….,14,17,….are in A.P.

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  14. Fill the gap The nth term of an A.P.whose first term is a and common ...

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  15. Fill the gap The sum of n terms of an A.P. whose first term is a and ...

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  16. Fill the gap Tn=Sn-….

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  17. Fill the gap 30th ter of an A.P. 10,7,4..is……

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  18. Choose the correct one If angles of a triangle are in A.P. then one o...

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  19. Choose the correct one Which of the following is not an A.P. (i)1,4...

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  20. Chosse the correct one The sum of first 100 natural number is

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