Law of Sines Answers

A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his break, he paints half of the remaining unpainted portion and then takes another break. If he continues to paint half of the remaining unpainted portion between breaks, approximately what portion of the original wall will be painted when he takes his fifth break?

What is the sum of the first seven terms of the geometric series?3 + 12 + 48 + 192 + ...

The sum of the series below is 10,900. How many numbers, n, are in the series?19 + 20.5 + 22 + 23.5 + ... + 181

Madyson borrows $1,200 from her father to purchase airplane tickets. The first week after borrowing the money, Madyson repays her father $50. Each week after that, she is able to repay her father $2 more than the previous week, except in the last week, when she finishes repaying the loan. How much is Madyson’s final payment?

A hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the first month and then pays one-third of the previous month’s payment each of the following months until the invoice is paid in full. Approximately how much of the invoice will be paid after the fourth month?

Which geometric series converges?

Xavier exercises by riding his bike. During his first week of training, he rides a total of 15 miles. Each week he increases the number of miles biked by 0.4 miles. How many total weeks will it take Xavier to first bike more than 500 miles total?

An arithmetic series is represented by the equation . Which of the following is true?

What is the value of the arithmetic series below?

What is the sum of the numbers in the series below?15 + 11 + 7 + . . . + (–129)

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of each year, which summation represents the money in the account 10 years after the initial deposit?

Which equation represents the partial sum of the geometric series?

An arithmetic series contains 20 numbers. The first number is 102. The last number is 159. Which expression represents the sum of the series?

What are the values of and r of the geometric series?1 + 3 + 9 + 27 + 81

Sasha sets a goal to read 5 minutes longer than each previous day for 30 days. On the first day, Sasha reads for 20 minutes. The expression represents the total number of minutes Sasha reads during the 30 days. How many total minutes does she read?

What is the value of r of the geometric series?

Which of the following represents the sum of the series below?4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 + 31 + 34 + 37 + 40

A child is building a triangular tower. The first (bottom) row of the 12-row tower is made with 12 blocks. Each successive row uses one less block. Which equation represents the total number of blocks used in the tower?

The formula for the sum of an infinite geometric series, , may be used to convert to a fraction. What are the values of and r?

Which of the following represents the value of the series below?