I got a problem that states which graph represents the sequence of 1,2.5,4,5.5,7..
Should the graph start at 1,1 or 0,1?
The sequence's nth term, An, is 1 + 1.5(n-1)
= 1.5n -0.5
If you are graphing An vs n, start at (1,1)
You get a straight line through that point with slope = 1.5
To determine whether the graph should start at 1,1 or 0,1 for the given sequence 1, 2.5, 4, 5.5, 7, you need to understand the pattern of the sequence. The sequence appears to be increasing with a constant difference between each term.
Let's examine the differences between consecutive terms:
2.5 - 1 = 1.5
4 - 2.5 = 1.5
5.5 - 4 = 1.5
7 - 5.5 = 1.5
The differences are all 1.5, which indicates that each term is obtained by adding 1.5 to the previous term.
Based on this pattern, we can determine that the graph should start at (0, 1). Here's how you can determine this:
1. Start at the origin (0,0) on your graph paper.
2. Since the first term of the sequence is 1, go up by 1 unit on the y-axis to reach the point (0,1).
3. From (0,1), apply the pattern by moving right by a fixed interval (in this case, 1) on the x-axis and up by the constant difference (in this case, 1.5) on the y-axis for each subsequent term of the sequence.
By following these steps, you should be able to plot the graph of the given sequence accurately.