For an A.P., the seventh term is 19 and the thirteenth term is 37. | Filo
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For an A.P., the seventh term is 19 and the thirteenth term is 37. Find its twenty second term.

  1. 60
  2. 54
  3. 64
  4. 78
Correct Answer: Option(c)
Solution: For the given A.P.,   and
Now


    ............ (1)
Again,

      ............. (2)
Subtracting eq. (1) from eq. (2)


    

Substituting in ,



Thus, the first term of the A.P. is 1 and the common difference is 3.
Now,

Thus, the twenty second term of the given A.P. is 64.
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