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  • Which of the following is not an A.P. ?  Option: 1 Option: 2</strong

Which of the following is not an A.P. ? 
Option: 1 -1.2, 0.8, 2.8, ...
Option: 2 3, 3 + \sqrt 2, 3 + 2\sqrt 2, 3 + 3 \sqrt2, ...
Option: 3 \frac{4}{3},\frac{7}{3},\frac{9}{3},\frac{12}{3},...
Option: 4 \frac{-1}{5},\frac{-2}{5},\frac{-3}{5},...

Answers (1)

In option a the series has the same common difference and option b the series has the same common difference hence both are in A.P..

Check for Option C

\frac{4}{3},\frac{7}{3},\frac{9}{3},\frac{12}{3} \\ \\ a_2 - a_1 = \frac{7}{3} - \frac{4}{3} = 1 \\\\ a_3 - a_2 = \frac{9}{3} - \frac{7}{3} = \frac{2}{3} \\ $ Hence it is not an A.P.

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