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If 12th term of an A.P. is -13 and the s...

If 12th term of an A.P. is -13 and the sum of the first four terms is 24, what is the sum of first 10 terms ?

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To solve the problem step by step, we will use the properties of Arithmetic Progressions (AP). ### Step 1: Understand the given information We know: - The 12th term of the AP (A12) is -13. - The sum of the first four terms (S4) is 24. ### Step 2: Write the formulas for the terms and sums ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. The number of terms of an A.P. is even, the sum of odd terms is 24, of...

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  2. If in an A.P, Sn=n^2p and Sm=m^2p, then Sp is equal to

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  3. If 12th term of an A.P. is -13 and the sum of the first four terms i...

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  4. If the 5th and 12th terms of an A.P. are 30 and 65 respectively, wha...

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  5. Find the sum of n terms of an A.P. whose kth terms is 5k+1.

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  6. Sum of all two digit numbers which when divided by 4 yield unity as re...

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  7. If the sum of a certain number of terms of the AP 25,22,19... is 116. ...

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  8. How many terms of the A.P. -6, -(11)/2,\ -5,... are needed to give the...

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  9. In an A.P. the first term is 2 and the sum of the first five terms is ...

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  10. If Sn=n P+(n(n-1))/2Q ,w h e r eSn denotes the sum of the first n term...

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  11. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

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  12. If 2/3, k ,5/8 are in A.P., find the value of kdot

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

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  14. If a,b,c are in A.P., then show that (i) a^2(b+c), b^2(c+a), c^2(a+b) ...

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  15. If a, b, c are in A.P, then show that: b+c-a , c+a-b , a+b-c are in A....

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  16. If a, b, c are in A.P, then show that: b c-a^2, c a-b^2,a b-c^2 are i...

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  17. If (b+c)/a,(c+a)/b,(a+b)/c are in A.P. show that 1/a,1/b1/c are als...

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

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  20. Insert 3 arithmetic means between 3 and 19.

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