A local diner has started selling cupcakes and is using the bar chart given below to keep track of how many are sold each day. H
1 answer:
The number of cupcakes that will be sold on day 15 is; 57 cupcakes
<h3>How to solve arithmetic sequence?</h3>
Day n could be any particular day located on the x-axis of the bar chart. Each bar represents the amount of cupcakes sold on each of the four days numbered from 1 to 4.
The height of each bar marks the number of cupcakes sold. According to the chart attached, the number of cupcakes sold on each day is listed below:
Day 1 : 1 cupcake sold
Day 2 : 5 cupcakes sold
Day 3: 9 cupcakes sold
Day 4: 13 cupcakes sold
Studying the graph carefully fully, it will be observed that the number of cupcakes sold increases by a margin of 4 after day one.
As such the number of cupcakes sold in n days can be modeled by Using the Arithmetic progression formula:
Tₙ = a + (n-1)d
where;
d = common difference = 4
a = first term = 1
n = number of days
Hence, number sold in day n:
a + 4(n - 1)
Thus;
Number of cupcakes sold on day 15 is;
T₁₅ = 1 + 4(15 - 1)
T₁₅ = 57 cupcakes
Read more about Arithmetic Sequence at; brainly.com/question/6561461
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