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An AP consists of 50 terms of which 3rd ...

An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.

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`a_50=106`
a+(50-1)=106-(1)
`a_3=12`
a+2d=12-(2)
subtracting equation 2 from 1
47d=94
d=2
putting this value in equation 2
...
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NCERT-ARITHMETIC PROGRESSIONS-Exercise 5.3
  1. An AP consists of 50 terms of which 3rd term is 12 and the last term ...

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  2. In a potato race, a bucket is placed at the starting point, which is ...

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  3. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 28...

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

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  5. In an AP: given a=8,an=62,Sn=210 find n and d

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  6. Find the sums given below : (i) 7+10 1/2+14+...+84 (ii) 34+32+30+...+...

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  7. Find the sum of the following APs : (i) 2, 7, 12, . . . , to 10 terms...

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

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

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

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

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  12. A spiral is made up of successive semicircles, with centres alternate...

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  13. 200 logs are stacked in the following manner: 20 logs in the bottom r...

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  14. Show that a1,a2,...,an,... form an AP where anis defined as below : (i...

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

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

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  17. Find the sum of the first 15 multiples of 8.

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

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  19. A contract on construction job specifies a penalty for delay of compl...

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  20. A sum of Rs 700 is to be used to give seven cash prizes to students o...

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  21. In a school students thought of planting trees in and around the scho...

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