Milestone Review - Algebra C&C

Front

What is the equation that represents the relationship between the number of months (x) and total membership (y) if a fitness club starts with 80 members and increases by 15 members each month?

Back

y = 15x + 80

Front

What is the common difference in the arithmetic sequence: -34, -29, -24, -19, ...?

Back

d = 5

Front

What is the explicit formula for the n^th term of the arithmetic sequence: 2, 9, 16, 23, ...?

Back

a_n = 7n - 5

Front

What does the symbol '>' represent in inequalities?

Back

It indicates that the value on the left is greater than the value on the right.

Front

What is the value of f(2) if f(x) = 4x?

Back

8

Front

Define an arithmetic sequence.

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the formula for the n^th term of an arithmetic sequence?

Back

a_n = a₁ + (n - 1)d, where a₁ is the first term and d is the common difference.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 4th term?

Back

The 4th term is 14.

Front

What is the common difference in the arithmetic sequence: 10, 15, 20, 25, ...?

Back

d = 5

Front

How do you find the sum of the first n terms of an arithmetic sequence?

Back

Use the formula S_n = n/2 * (a₁ + a_n), where S_n is the sum, a₁ is the first term, and a_n is the n^th term.