Algebra 1 Homework 2.1

Describe the pattern

Represent the sequence as a numeric sequence. Include the first 6 terms. Be sure to separate each term with a comma. (ex: 1, 2, 3, ...)

Describe the pattern:

Hancox Homes is a popular construction company that builds affordable housing. When the company first started, they sold 1 home the first month, 3 homes the second month, 9 homes the third month, and 27 homes the fourth month.

Represent the sequence as a numeric sequence. Include the first 6 terms. Be sure to separate each term with a comma. (ex: 1, 2, 3, ...):

Hancox Homes is a popular construction company that builds aff ordable housing. When the company fi rst started, they sold 1 home the fi rst month, 3 homes the second month, 9 homes the third month, and 27 homes the fourth month.

Describe the pattern:

Violet is a yoga instructor who regularly posts new exercise videos on a website for her clients. One week after launching the website, she had posted a total of 6 videos. At the end of week 2, she had a total of 10 videos. At the end of week 3, she had a total of 14 videos. At the end of week 4, she had a total of 18 videos.

Represent the sequence as a numeric sequence. Include the first 6 terms. Be sure to separate each term with a comma. (ex: 1, 2, 3, ...):

Violet is a yoga instructor who regularly posts new exercise videos on a website for her clients. One week after launching the website, she had posted a total of 6 videos. At the end of week 2, she had a total of 10 videos. At the end of week 3, she had a total of 14 videos. At the end of week 4, she had a total of 18 videos.

Robin is opening a restaurant and tells her staff they have to go above and beyond to please their customers, especially on opening day. She reasons that if one customer is pleased with the restaurant, that person is likely to tell 4 people about it. Then each of those people is likely to tell 4 people about it, and so on.

Describe the pattern for the number of customers Robin’s Restaurant will reach with each telling

Robin is opening a restaurant and tells her staff they have to go above and beyond to please their customers, especially on opening day. She reasons that if one customer is pleased with the restaurant, that person is likely to tell 4 people about it. Then each of those people is likely to tell 4 people about it, and so on.

Determine how many customers are reached after the 5th, 6th, and 7th tellings. (Hint: after the first telling 4 people were reached. After the second telling 16 people were reached.) Be sure to separate each answer with a comma.

Robin is opening a restaurant and tells her staff they have to go above and beyond to please their customers, especially on opening day. She reasons that if one customer is pleased with the restaurant, that person is likely to tell 4 people about it. Then each of those people is likely to tell 4 people about it, and so on.

Represent the number of customers reached with each telling as a numeric sequence including the 7th term.