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If there are (2n+1) terms in A.P. , then...

If there are `(2n+1)` terms in A.P. , then prove that the ratio of the sum of odd terms and the sum of even terms is `(n+1): n`

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Questions on Sum of n terms in A.P.

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

RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

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  2. The ratio of the sum of n terms of two A.Ps is (7n+1):(4n+27)dot Find ...

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  3. If there are (2n+1) terms in A.P. , then prove that the ratio of the s...

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  4. Raghav buys a shop of Rs. 1,20,000. He pays half of the amount in cash...

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  5. Which term of the A.P. 3,15,27, 39, ... will be 120 more than its 21st...

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  6. The 17th term of an A.P. is 5 more than twice its 8th term. If the ...

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

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

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  9. The sum of three terms of an A.P. is 21 and the product of the first ...

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  10. The angles of a quadrilateral are in A.P. whose common difference is 1...

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  11. Consider the A.P. 2,5,8, 11 ,........ ,302. Show that twice of the mi...

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  12. For what value of n the n^(t h) terms of the following two A.Ps the s...

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  13. How many terms are there in the sequence 3,6,9, 12 ,.......... 111 ?

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  14. Find the middle term of the A.P. 6, 13 , 20 , ...... 216.

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  15. Show that the sequence 9,12,15,18,... is an A.P. Find its 16th term...

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  16. Which term of the sequence -1,3,7, 11 , ... is 95 ?

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  17. Write the sequence with nth terms: (i)an=3+4n (ii) an=5+2n (iii)an=6-...

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  18. Then n^(t h) term of an A.P. is 6n+2. Find the common difference.

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  19. Show that the sequence defined by an=5n-7 is an A.P., find its common...

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  20. Show that the sequence defined by an=3n^2-5 is not an A.P.

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