Understanding the Concept of a Limit Answers

Within the set of whole numbers, one set of numbers satisfies the recursive formula , when . What are the first two terms of the sequence?

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

In the month of January, a certain restaurant claimed it sold 9,000 burgers and expects sales to grow at a rate of 4.8% per month over the next year. Which formula will determine the number of burgers the restaurant expects to sell this year?

What is the value of S4 for ?

Which summation formula is equivalent to the one below?

Which of the following is equivalent to ?

What is the summation notation for the geometric series 5 + 10 + 20 + 40 + 80?

Which series has a sum of 20?

What is the sum of the series ?

Which of the following can be used to evaluate the series ?

A balloon takes 1 minute to rise 60 feet in the air. Each minute after that, the balloon rises 40% as far as it did the previous minute. Which equation represents the total distance, d, in feet that the balloon rises in 6 minutes?

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

A company gives each new salesperson a commission of $300 for the sale of a new car. The salesperson will receive a $100 increase for each additional car the person sells that week, so the person gets $400 for the next sale that week. Which equation represents the number of cars a salesperson must sell to earn $4,200 in commissions in a week? Recall that for an arithmetic sequence, is equivalent to .

If , which recursive formula could represent the sequence below?..., 24, 88, 664, 8408, ...

Micah takes a job with a starting salary of $78,000 for the first year. He earns a 4% increase each year. To the nearest dollar, how much does Micah make over the first seven years?

A clerk in the sports department of a store is stacking tennis balls in the shape of a square pyramid. The top layer has 1 ball, the second layer has 4 balls, the third layer has 9 balls, and so on, as shown below.Which of the following represents the number of balls in the first 8 layers of the pyramid?

A worker has four different job offers, each with a contract for seven years. Assuming the job descriptions are identical, for which offer will the worker earn the least over seven years?

Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account and earns 2% interest on the new balance, compounded annually. Which recursive formula represents the total amount of money in Victoria’s account at the end of the nth year?

Which geometric series converges?

There are 78 students from a local high school attending a concert. The concert hall has 40 rows of seats. The first row has 50 seats, and each row after that has 4 more seats than the one before. If all 78 students sit in one row and are as close to the front row as possible, in which row did the students sit?