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The first term of an AP is 5, the last t...

The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

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To solve the problem step by step, we will use the formulas related to Arithmetic Progressions (AP). ### Given: - First term (A) = 5 - Last term (L) = 45 - Sum of the terms (S) = 400 ### Step 1: Use the formula for the sum of an AP ...
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NCERT-ARITHMETIC PROGRESSIONS-Exercise 5.3
  1. In a potato race, a bucket is placed at the starting point, which is ...

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

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

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

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

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

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

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

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

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

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

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  12. 200 logs are stacked in the following manner: 20 logs in the bottom r...

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

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

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

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

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

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

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

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

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