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If an A.P. consists of n terms with firs...

If an A.P. consists of n terms with first term a and `n^(th)` term `l` then show that the sum of the `m^(th)` term from the beginning and the `m^(th)` term from the end is `(a+l)`.

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
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  2. Find n if the given value of x is the n t h term of the given A.P....

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  3. If an A.P. consists of n terms with first term a and n^(th) term l the...

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  4. Determine the AP whose third term is 16 and the 7th term exceeds the 5...

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  5. The 7t h term of an A.P. is 32 and its 13 t h term is 62. Find t...

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  6. Two APs have the same common difference. The difference between the...

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  7. For what value of n, are the with terms of two APs: 63, 65, 67, . . . ...

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  8. How many multiples of 4 lie between 10 and 250?

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  9. How many three digit numbers are divisible by 7?

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  10. Three numbers are in A.P. If the sum of these numbers be 27 and the...

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  11. Find the four numbers in A.P., whose sum is 50 and in which the gre...

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  12. Find the value of x for which (8x+4),\ (6x-2) and (2x+7) are in A.P...

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  13. If x+1,\ 3x and 4x+2 are in A.P., find the value of x .

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  14. Show that (a-b)^2,\ (a^2+b^2) and (a+b)^2 are in A.P.

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  15. Find the sum of 20 terms of the AP 1, 4, 7, 10,....

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  16. Find the sum of first n natural numbers.

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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. Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of...

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