sequences

Front

Is the sequence arithmetic: 37, 31, 25, 19, ...?

Back

Yes, this is an arithmetic sequence with a common difference of -6.

Front

Find the sequence 10, 20, 30, 40.........

Back

Add 10 to each term to get the next term.

Front

Given the sequence 2, 6, 18, 54, ... find the 6th term.

Back

The 6th term is 486.

Front

Find the common difference: 29, 21, 13, 5, ...

Back

The common difference is d = -8.

Front

Create the explicit formula for the sequence: 2, 8, 14, ...

Back

The explicit formula is y = 2 + 6x.

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 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

How do you find the nth term of an arithmetic sequence?

Back

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

Front

How do you find the nth term of a geometric sequence?

Back

The nth term can be found 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: 5, 10, 15, 20, ...?

Back

The common difference is d = 5.