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Justify whether it is true to say that ` -1, (-3)/(2), -2, (5)/(2), … ` Forms an AP as `a_(2)-a_(1)=a_(3)-a_(2)`.

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To determine whether the sequence \(-1, -\frac{3}{2}, -2, \frac{5}{2}, \ldots\) forms an Arithmetic Progression (AP), we need to check if the difference between consecutive terms is constant. ### Step 1: Identify the terms Let: - \( a_1 = -1 \) - \( a_2 = -\frac{3}{2} \) - \( a_3 = -2 \) - \( a_4 = \frac{5}{2} \) ...
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NCERT EXEMPLAR-ARITHMETIC PROGRESSIONS-Arithmetic Progressions
  1. The sum of first five multiples of 3 is

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  2. Which of the following form of an AP ? Justify Your answer. (i) -1,-...

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  3. Justify whether it is true to say that -1, (-3)/(2), -2, (5)/(2), … ...

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  4. For the AP -3, -7, -11, … can we find directly a(30)-a(20) without ac...

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  5. Two A.P have the same common difference. The first term of one A.P is ...

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  6. Is 0 a term of the AP 31, 28, 25, …? Justify your answer.

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  7. The taxi fare after each km, when the fare is Rs. 15 for the first km ...

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  8. In which of the following situations, do the lists of numbers involved...

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  9. Justify whether it is true to say that the following are the nth terms...

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  10. Match the AP's given in column A with suitable common differences giv...

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  11. Verify that each of the following is an AP and then write its next thr...

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  12. Write the first three terms of the AP's, when a and d are as given bel...

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  13. Find a, b and c such that the following numbers are in AP, a, 7, b, 23...

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  14. Determine the AP whose fifth term is 19 and the difference of the eigh...

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  15. The 26th, 11th and the last terms of an AP are, 0, 3 and -(1)/(5), res...

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  16. The sum of the 5th and the 7th terms of an AP is 52 and the 10th term ...

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  17. Find the 20th term of the AP whose 7th term is 24 less than the 11th t...

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  18. If the 9th term of an AP is zero, then prove that its 29th term is twi...

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  19. Find whether 55 is a term of the AP 7, 10, 13, … or not. If yes, find ...

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  20. Determine k, so that K^(2)+4k+8, 2k^(2)+3k+6 and 3k^(2)+4k+4 are three...

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