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Find the 31^(s t) term of an AP whose 11...

Find the `31^(s t)` term of an AP whose `11^(t h)`term is 38 and the `16^(t h)`term is 73.

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To find the 31st term of an arithmetic progression (AP) where the 11th term is 38 and the 16th term is 73, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the formula for the nth term of an AP**: The nth term of an AP can be expressed as: \[ a_n = A + (n - 1)D ...
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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 28...

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

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

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

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

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

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

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

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

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

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

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  20. How many terms of the AP : 24, 21,18,... must be taken so that their ...

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