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In an AP : Given a(3) = 15 ,S(10)=125 ...

In an AP :
Given `a_(3) = 15 ,S_(10)=125 ,` find d and `a_(10)`

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The correct Answer is:
`d=-1 ,a_(10)=8`
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In an AP: (i) Given a=5, d=3, a_(n) = 50 , find n and S_(n) (ii) given a=7, a_(13) = 35 , find d and S_(13) . (iii) given a_(12) = 37, d=3 , find a and S_(12) (iv) given a_(3) = 15, S_(10) = 125 , find d and a_(10) (v) given a=2, d= 8, S_(n) = 90 , find n and a_(n) (vi) given a_(n) = 4, d=2, S_(n) = - 14 , find n and a. (vii) given l=28, S= 144, and there are total 9 terms, find a.

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In an AP : Given a = 3 , n = 8 , S_(n) = 192 , find d .

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In an AP : Give a = 7 , a_(12)= 37 , d = 3, find a and S_(12) .

In an AP : Given a = 8 , a_(n)=62 , S_(n)=210 , find n and d .

In an AP : Given d = 5 , s_(9)=75 find a and a_9

For an AP, if a_(n)=4, d=2 and S_(n)= -14 , find n and a.

Find the the indicated term of each Geometric, Progression (i) a_(1) = 9, r=1/3 , find a_(7) , (ii) a_(1) =-12, r=1/3 , find a_(6)

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KUMAR PRAKASHAN-ARITHMETIC PROGRESSION-EXERCISE 5.3
  1. In an AP : Give a = 7 , a(13)= 35 , find d and S(13) .

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  2. In an AP : Give a = 7 , a(12)= 37 , d = 3, find a and S(12) .

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  3. In an AP : Given a(3) = 15 ,S(10)=125 , find d and a(10)

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  4. In an AP : Given d = 5 , s(9)=75 find a and a9

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  5. In an AP : Given a=2, d=8 , S(n)=90 , find n and an .

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  6. In an AP : Given a = 8 , a(n)=62 , S(n)=210 , find n and d .

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  7. In an AP : Given an=4 , d = 2 , S(n)=-14 , find n and a .

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  8. In an AP : Given a = 3 , n = 8 , S(n) = 192 , find d .

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  9. In an AP : Given l = 28 , S(n) = 144 , and there are total 9 terms...

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  10. How many terms of the AP , 9 , 17 , 25 .......must be taken to give a ...

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  11. The first term of an AP is 5, the last term is 45 and the sum is 400. ...

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  12. The first and the last terms of an AP are 17 and 350 respectively . If...

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  13. Find the sum of first 22 terms of an AP in which d = 7 and 22nd term i...

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  14. Find the sum of first 51 terms of an AP whose second and third terms a...

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  15. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289...

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  16. Show that a(1),a(2),......a(n),.... from an AP where an is defined a...

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  17. If the sum of the first n terms of an AP is 4n - n^2 , what is the fi...

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  18. Find the sum of the first 40 positive integers divisible by 6.

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  19. Find the sum of the first 15 multiple of 8.

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  20. Find the sum of the odd numbers between 0 and 50 .

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