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Question
Show that the following sequence is an A.P. Also find the common difference and write 3 more terms in case.
−1, 1/4, 3/2, 11/4, ...
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Solution
\[\text { We have: } \]
\[1/4 - ( - 1) = 5/4\]
\[3/2 - 1/4 = 5/4\]
\[11/4 - 3/2 = 5/4\]
\[\text { Thus, the sequence is an A . P . with the common difference being } (5/4) . \]
\[\text { The next three terms are as follows }: \]
\[11/4 + 5/4 = 16/4 = 4\]
\[16/4 + 5/4 = 21/4\]
\[21/4 + 5/4 = 26/4\]
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