MathematicsWhich of the following is the term of the arithmetic progression -7, -12, -17, -22…… will be -82 and -107 term of the AP?

Which of the following is the term of the arithmetic progression -7, -12, -17, -22…… will be -82 and -107 term of the AP?


  1. A
    n = 16 and n = 21
  2. B
  3. C
  4. D
     

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    Solution:

    Given AP : -7,-12,-17,-22,….., -82,…..
    An=A+(n-1)d
    -107=-7+(n-1)(-5)
    -100-5=n-1
    n=21
    -82 is 16th Term of AP and -107 is 21 Term of AP.
    Hence, Option (1) is the correct answer.
     
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