Question

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. How many cupcakes will be sold on day 15?

Answer 1

The number of cupcakes that will be sold on day 15 is; 57 cupcakes

How to solve arithmetic sequence?

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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