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Show that the sequence is an A.P. if its...

Show that the sequence is an A.P. if its nth term is linear expression in `n` and in such a case the common difference is equal to the coefficient of `ndot`

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If (3+5+7+ u p tont e r m s)/(5+8+11+ u p to10t e r m s)=7, then find...

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  16. In a factory, 150 workers were engaged to finish a piece of work in a ...

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  17. Prove that the sum of n arithmetic means between two numbers in n ti...

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  18. If a ,b ,c are in A.P., then prove that: (a – c)^2 = 4(b^2 – ac).

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  19. If a^2(b+c),b^2(c+a),c^2(a+b), are in A.P. show that either a ,b ,c ar...

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  20. If n arithemetic means are inserted between 20 and 80 such that the ra...

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