A savings account is opened with $15 and increases monthly by 20%. Complete the graph of the geometric sequence by labeling the points.

Answer 1

To complete the graph of the geometric sequence, we need to find the subsequent terms of the sequence.

The first term is given as $15, and it increases by 20% monthly. Since the increase is a percentage, we can calculate the subsequent terms by multiplying the previous term by 1 plus the percentage increase.

To find the second term, we multiply $15 by 1 + 0.20 = 1.20. This gives us:

Second term = $15 * 1.20 = $18

To find the third term, we multiply the second term ($18) by 1.20:

Third term = $18 * 1.20 = $21.60

We can continue this process to find the subsequent terms.

Fourth term = $21.60 * 1.20 = $25.92
Fifth term = $25.92 * 1.20 = $31.10

Now, we can plot the points on the graph:

Point 1: (month 1, $15)
Point 2: (month 2, $18)
Point 3: (month 3, $21.60)
Point 4: (month 4, $25.92)
Point 5: (month 5, $31.10)

We can then connect the points on the graph to complete the geometric sequence.