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12 November, 09:47

which of the following is the graph of an arithmetic sequence whose first term is 2 and common difference is 0.5

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  1. 12 November, 10:50
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    Solution

    The general form of the n-th term = a + (n-1) d

    An = 2 + (n-1) 0.5

    An = 2 + 0.5n - 0.5

    An = 0.5n + 1.5

    Here the slope is 0.5 and y-intercept is 1.5

    Therefore, the line start from y = 1.5 rises 0.5 level because the slope is 0.5

    Now look at the graph.

    The graph D start from 1.5 and moves at the rate of 0.5

    The answer is Graph D.
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