Question

The Dysons love to give parties. Last Friday, they gave a party and the doorbell rang 15 times. At the first ring, one guest arrived. Each time the doorbell rang after that, two more guests arrived than the time before. On Saturday they had another party. At the first ring of the doorbell a single guest arrived, at the second ring two guests appeared, at the third ring three guests and so on. If the doorbell rang 20 times Saturday night, how many guests attended? Was this party bigger than Friday's party? How do you know? 2. Draw a picture to show one way to solve this problem.​

Answer 1

The number of guests on Saturday is 210 and it is greater than the party of Friday (15 guests)

Calculations and Parameters

Last Friday had 15 guests

The sum total of guests on Saturday= 210 guests (using Arithmetic progression)

Using the arithmetic progression sum formula:

1 * 20  + (20 * 19/2) * 1= 210

Therefore, 210 > 15, so we can conclude that the Saturday night party was bigger than Friday's own.

Read more about arithmetic progression here:

https://brainly.com/question/6561461

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