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In an A.P. : (i) given a=5, d=3, a(n)=...

In an A.P. :
(i) given `a=5, d=3, a_(n)=50`, find n and `S_(n)`.
(ii) given `a=2, d=8, S_(n)=90`, find n and `a_(n)`.
(iii) given `a=3, n=8, S_(n)=192` , find d.
(iv) given `l=28, S=144, n=9`, find a.

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The correct Answer is:
`(i)n=16, S_(n)=440 " " (ii) n=5, a_(n)=34 " " (iii) d=6 " " (iv)a=4`
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NAGEEN PRAKASHAN ENGLISH-ARITHMETIC PROGRESSION-Exercise 5c
  1. Find the sum of the following A.P.'s : (i) 3,8,13, .... to 20 terms...

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  2. Find the sum given below : (i) 3+6+9+ ....+96 " " (ii) 2+4+6+....+ ...

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  3. In an A.P. : (i) given a=5, d=3, a(n)=50, find n and S(n). (ii) gi...

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  4. How many terms of the A.P. 22+26+30+… has the sum 400?

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  5. How many terms of the A.P. 54, 51, 48, ... has the sum 513 ? Explain t...

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  6. Find the value of 'x' if 1+6+11+...+x=189

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  7. (a) Find the sum of first 200 even natural numbers. (b) Find the sum...

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  8. Find the sum of n terms of an A.P. whose nth term is (2n+1).

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  9. The sum of n terms of a series is n(n+1) . Prove that it is an A.P. al...

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  10. The sum of n terms of a series is (3n^(2)+2n). Prove that it is an A.P...

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  11. The sum of first 5 terms and first 15 terms of an A.P. are equal. Fin...

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  12. The sum of first 8 terms and first 24 terms of an A.P. are equal. Find...

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  13. The sum of15 terms of an A.P. is zero and its 4th term is 12. Find its...

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  14. The sum of first 8 terms of an A.P. is 64 and that of first 15 terms i...

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  15. If the m^(t h) term of an A.P. is 1/n and the n^(t h) terms is 1/m , s...

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  16. If a(1), a(2), a(3) , … are in A.P. , such that a(1) + a(5) +a(10) ...

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  17. The first term, last term and common difference of an A.P. are respect...

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  18. If S(n) denotes the sum of first n terms of an AP, then prove that S(1...

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  19. Yasmeen saves Rs. 32 during the first month, Rs. 36 in the second mont...

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  20. The sum of the first five terms of an AP and the sum of the first seve...

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