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Choose the correct choice in the followi...

Choose the correct choice in the following and justify
(i) 30th term of the AP: `10,7,4,...` is (A) 97 (B) 77 (C) ` -77````` (D) `87`
(ii) 11th term of the AP: `– 3, -1/2 , 2, ...` is (A) `28` (B) `22` (C) `–38` (D) `– 48 1/2`

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To solve the given problems step by step, we will use the formula for the nth term of an arithmetic progression (AP), which is: \[ A_n = A + (n - 1) \cdot D \] where: - \( A \) is the first term, ...
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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Find the sum of first 24 terms of the list of numbers whose nth term ...

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

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

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

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

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

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

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  8. If the sum of the first 14 terms of an AP is 1050 and its first term ...

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  9. An AP consists of 50 terms of which 3rd term is 12 and the last term ...

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  10. If the 3rd and the 9^(t h)terms of an AP are 4 and - 8 respectively, w...

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  11. A small terrace at a football ground comprises of 15 steps each of wh...

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  12. In which of the following situations, does the list of numbers involv...

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

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  14. For the following AP's, write the first term and the common differenc...

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  15. Write first four terms of the AP, when the first term a and the commo...

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  16. Which of the following are AP's ? If they form an AP, find the common ...

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  17. Find the sum of :(i)         the first 1000 positive integers(ii)    ...

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  18. Show that a1,a2,...,an,... form an AP where an is defined as below : ...

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

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

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