Question

Mikayla is building a pyramid of paper cups. The bottom row has 61 cups while the top row has only one cup. If there are 16 total rows and the number of cups on each row represents an arithmetic sequence, find the total number of cups.

Answer 1

The number of cups will be equal to 496.

What is arithmatic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmatic progression

Here we have the data:-

The bottom row has 61 cups

If there are 16 total rows

The number of the cups will be calculated as:-

$S_n=\dfrac{n(a_1+a_n)}{2}$

Here a1 is first term 1

an is last term 2

n is the total number of the rows

By putting the values in the question we will get:-

$S_n=\dfrac{16(1+61)}{2}=\dfrac{16\times 62}{2}=496\ cups$

Hence the number of cups will be equal to 496.

To know more about arithmetic progression follow

brainly.com/question/6561461

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