5.1-5.3 Flashcard Review

Front

What is the next term in the sequence: 1, 3, 9, 27,...?

Back

81

Front

True or False: The function f(x) = 3^x is an exponential function.

Back

True

Front

What is the common ratio (multiplier) for the sequence: 28, 14, 7, 3.5...?

Back

1/2

Front

If Riley invested $1,000 in savings bonds with 6.75% interest compounded semi-annually, what is the correct n value for the equation?

Back

2

Front

How much will Jacob owe after borrowing $500 at 2.5% interest compounded annually for 5 years?

Back

$565.70

Front

Define an exponential function.

Back

A function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Front

What does 'compounded semi-annually' mean?

Back

Interest is calculated and added to the principal twice a year.

Front

What is a common ratio in a geometric sequence?

Back

The factor by which each term is multiplied to get the next term.

Front

If a sequence has a common ratio of 3, what are the first three terms if the first term is 2?

Back

2, 6, 18.