Arithmetic & Geometric Sequences - Part Two

Front

What is 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 nth term of an arithmetic sequence?

Back

The nth term (a_n) can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term (a_n) can be calculated using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is the common difference in the sequence 7, 11, 15, ...?

Back

The common difference is 4.

Front

What is the common ratio in the sequence -4, -8, -16, ...?

Back

The common ratio is 2.

Front

How do you find the 10th term in an arithmetic sequence?

Back

Use the formula: a_n = a_1 + (n-1)d, substituting n=10.

Front

How do you find the 10th term in a geometric sequence?

Back

Use the formula: a_n = a_1 * r^(n-1), substituting n=10.

Front

What does the 'b' value represent in the equation f(x)=mx+b for arithmetic sequences?

Back

The 'b' value represents the first term of the arithmetic sequence.

Front

What does the 'm' value represent in the equation f(x)=mx+b for arithmetic sequences?

Back

The 'm' value represents the common difference of the arithmetic sequence.