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Find the sum of all even integers betwee...

Find the sum of all even integers between 101 and 999.

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We know that all even integers will have a common difference of `2.`
So, AP is `102, 104, 106, …, 998`
We know,` a = 102, d = 104 – 102 = 2, a_n = 998`
By using the formula, `a_n = a + (n - 1)d`
...
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. Find the sum of all integers between 84 and 719, which are multiples o...

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  2. Find the sum of all integers between 50 and 500 which are divisible by...

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  3. Find the sum of all even integers between 101 and 999.

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  4. Find the sum of all integers between 100 and 550, which are divisible ...

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  5. Find the sum of the series : 3+5+7+6+9+12+9+13+17+.... +3n terms.

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  6. Solve : 25+22+19+16+...+x=115

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  7. Solve: 1+4+7+10++x=590.

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  8. How many terms are there in the A.P. whose first and fifth terms are ...

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  9. The sum of first 7 terms of an A.P. is 10 and that of next 7 terms is ...

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  10. The third term of an A.P. is 7 and the seventh term exceeds three time...

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  11. The first term of an A.P.is 2 and the last term is 50. the sum of all ...

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  12. The number of terms of an A.P. is even, the sum of odd terms is 24, of...

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

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

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

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

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

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

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

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

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