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Find the rth term of an A.P., the sum of...

Find the rth term of an A.P., the sum of whose first `n` terms is `3n^2+4n`

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To find the r-th term of an arithmetic progression (A.P.) where the sum of the first n terms is given by \( S_n = 3n^2 + 4n \), we can follow these steps: ### Step 1: Understand the relationship between the sum of terms and the r-th term The r-th term of an A.P. can be expressed in terms of the sum of the first r terms and the sum of the first (r-1) terms: \[ T_r = S_r - S_{r-1} \] ...
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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Which term of the sequence 20,19 1/4, 18 1/2, 17 3/4,... is the first ...

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  2. Which term of the sequence 8-6i ,7-4i ,6-2i ,..... is (i) purely real ...

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  3. Find the rth term of an A.P., the sum of whose first n terms is 3n^2+...

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  4. Show that the sequence defined by an=2n^2+1 is not an A.P.

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  5. Show that the sequence loga ,log((a^2)/b),log((a^3)/(b^2)),log((a^4)/(...

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  6. The nth term of a sequence is given by an=2n+7. Show that it is an A.P...

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  7. Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P...

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  8. Which term of the sequence 72, 70, 68, 66,... is 40?

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  9. Show that the sequence is an A.P. if its nth term is linear expression...

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  10. The nth term of a sequence is given by an=2n+7. Show that it is an A.P...

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  11. The product of three numbers in A.P. is 224, and the largest number is...

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  12. The fourth power of common difference of an arithmetic progression wit...

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

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  14. The internal angles of quadrilateral are in A.P. and their common diff...

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  15. Find the sum of all natural between 250 and 1000 which are exactly ...

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  16. Find the sum of first 20 terms of an A.P., in which 3r d terms in 7 an...

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

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  18. The sums of n terms of three arithmetical progressions are S1, S2and ...

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  19. If in an A.P. the sum of m terms is equal of n and the sum of n ter...

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  20. The first , second and the last terms of an A.P. are a ,b , c respect...

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