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

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.