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Find the sum of first 51 terms of an AP ...

Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

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To find the sum of the first 51 terms of an arithmetic progression (AP) where the second and third terms are given as 14 and 18 respectively, we can follow these steps: ### Step 1: Identify the terms of the AP The terms of an AP can be expressed as: - First term: \( a \) - Second term: \( a + d \) - Third term: \( a + 2d \) ...
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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6t...

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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. Find the 31^(s t) term of an AP whose 11^(t h)term is 38 and the 16^(t...

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  5. A ladder has rungs 25 cm apart, (see Figure). The rungs decrease unif...

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

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

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

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

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

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

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

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  14. Ramkali saved Rs 5 in the first week of a year and then increased her...

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  15. Find the sum of first 24 terms of the list of numbers whose nth term ...

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  16. Fill in the blanks in the following table, given that a is the first ...

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  17. Choose the correct choice in the following and justify (i) 30th term ...

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  18. A manufacturer of TV sets produced 600 sets in the third year and 700 ...

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  19. Find the sum of the first 22 terms of the AP : 8,3,-2, . . . .

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  20. In a flower bed, there are 23 rose plants in the first row, 21 in the ...

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