Arithmetic & Geometric Sequences - Part Two

Front

What does the 'b' value represent in the function f(x)=a(b)^{x} for geometric sequences?

Back

The 'b' value represents the common ratio.

Front

What is the rule for the nth term of an arithmetic sequence with d=4 and a_{30}=57?

Back

a_n=-63+4n.

Front

What arithmetic sequence is described by the explicit rule a_n = 12 + 4(n - 1)?

Back

12, 16, 20, 24, ...

Front

Is the sequence {26, 22, 18, 14, ...} arithmetic, geometric, or neither?

Back

Arithmetic.

Front

Is the sequence {2, 9, 7, 14, 12, 19, ...} arithmetic, geometric, or neither?

Back

Neither.

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 nth term of an arithmetic sequence?

Back

The nth term is given by 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 is given by a_n = a_1 * r^{(n-1)}, where a_1 is the first term and r is the common ratio.

Front

How do you find the common difference in an arithmetic sequence?

Back

The common difference (d) is found by subtracting any term from the subsequent term.