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Show that the sum of an AP whose 1st ter...

Show that the sum of an AP whose 1st term is a , the 2nd term is b and the last term c, is equal to
`((a+c)(b+c-2a))/(2(b-a))`

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Show that the sum of an AP whose first term is a, the second term b and the last term c, is equal to ((a+c)(b+c-2a))/(2(b-a)) .

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Find the five terms of an A.P. whose sum is 12(1/2) and first and last term ratio is 2:3.

Find the sum of first 25 terms of an A.P. whose 4th term is 13 and 22nd term is 67.

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If the mth term of an AP is a and its nth term is b, show that the sum of its ( m +n) " term is " ((m +n))/2 . {a +b+ (( a-b))/((m-n))}

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AGRAWAL PUBLICATION-ARITHMETIC PROGRESSIONS-EXAMPLE
  1. The sum of four consecutive number in AP is 32 and the ratio of the pr...

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  2. Solve : 1 +4 +7 + 10 +…….+ x=287.

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  3. The sum of the first 5 terms of an AP and the sum of the first 7 terms...

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  4. Find the sum of those integers between 1 and 500 which are multiples ...

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  5. Find the sum of those integers from 1 to 500 which are multiples of ...

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  6. Find the sum of those integers from 1 to 500 which are multiplies of...

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  7. An AP consists of 37 terms. The sum of the 3 middle most terms is 225 ...

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  8. If the sum of the first 'p' terms of an A.P is 'q' and sum of the firs...

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  9. Find the sum of the integers between 100 and 200 that are: divisible ...

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  10. Find the sum of the integers between 100 and 200 that are: not divisi...

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  11. Which term of the Arithmetic Progression -7, -12, -17, -22, …. Will be...

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  12. How many terms of the arithmetic progression 45, 39, 33, …… must be ta...

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  13. Show that the sum of an AP whose 1st term is a , the 2nd term is b and...

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  14. If the sum of the first four terms of an AP is 40 and that of the firs...

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  15. The sum of the 4^(th) and the 8^(th) terms of an Ap is 24 and the sum...

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  16. If the ratio of the 11^(th) term of an AP to its 18^(th) term is 2...

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  17. The ratio of the sums of m terms and n terms of an A.P. is m^(2) : n^(...

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  18. Solve the equation -4 + (-1) + 2 +…. +x=437.

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  19. A thief runs with a uniform speed of 100m/minute. After one minute a p...

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  20. If the ratio of the sum of the first n terms of two A.P. is (7n+1) :(4...

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