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The first and the last terms of an A.P. ...

The first and the last terms of an A.P. are `a\ a n d\ l` respectively. Show that the sum of nth term from the beginning and nth term from the end is `a+ldot`

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To show that the sum of the nth term from the beginning and the nth term from the end of an Arithmetic Progression (A.P.) is equal to \( a + l \) (where \( a \) is the first term and \( l \) is the last term), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the nth term from the beginning**: The nth term of an A.P. can be calculated using the formula: \[ a_n = a + (n - 1)d ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. An A.P. consists of 60 terms. If the first and the last terms be 7 and...

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  2. The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th...

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  3. The first and the last terms of an A.P. are a\ a n d\ l respectively. ...

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  4. The sum of three numbers in A.P. is -3, and their product is 8. Find t...

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  5. Find the four numbers in A.P. whose sum is 20 and the sum of whose ...

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  6. Find the four numbers in A.P., whose sum is 50 and in which the greate...

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  7. Find the four numbers in A.P., whose sum is 50 and in which the greate...

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  8. If the sum of three numbers in A.P. is 24 and their product is 440, ...

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  9. Find the sum of 20 terms of the A.P. 1,4,7,10…..

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  10. Find the sum of the series : 5+13+21++181.

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  11. Find the sum of all three digit natural numbers, which are divisible b...

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  12. Find the sum of all odd integers between 2 and 100 divisible by 3

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  13. The sum of the first four terms of an A.P. is 56. The sum of the last ...

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  14. If the sum of n terms of an A.P. is (p n+q n^2) , where p and q are...

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  15. If the sum of n terms of an A.P. is 3n^2+5n and its mth term is 164, f...

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  16. Find the sum of n terms of the sequence (an),w h e r ean=5-6n ,n in N...

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  17. If the m^(t h) term of an A.P. is 1/n a n d\ t h e\ n^(t h)t e r m\ i ...

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  18. How many terms of the series 54,51, 48,.. be taken so that their sum i...

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  19. solve: 1 + 6 + 11 + 16 +.........+ x = 148

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  20. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

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