Question

Which term of the arithmetic progression - 7,-12,-17,-22 will be -82 ? Is -100 any term of the a.P. ?

Answer 1

a = -7

d = (-12 + 7)

= -5

=> -82 = -7 + (n - 1)-5

=> -75 = (n - 1)-5

=> 15 = n- 1

=> n = 16

Hence 16th term is -82.

-100 = -7 + (n - 1)-5

=> - 93 = (n - 1)-5

=> 18.6 = n - 1

=> n = 17.6

Hence -100 is not a part of this sequence as nth term is not a whole number.

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