Arithmetic Sequences

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 common difference in an arithmetic sequence?

Back

The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.

Front

Is the sequence arithmetic: -3, 3, -3, 3, ...?

Back

No, this sequence does not have a constant difference.

Front

Find the common difference in the sequence: -34, -29, -24, -19, ...

Back

m = 5, since each term increases by 5.

Front

Write the explicit equation for the arithmetic sequence: 25, 21, 17, 13,...

Back

t(n) = -4n + 29.

Front

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

Back

Yes, the common difference is -6.

Front

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

Back

m = -8, since each term decreases by 8.

Front

What is the nth term formula for an arithmetic sequence?

Back

The nth term formula is t(n) = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.

Front

How do you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is the same.

Front

What is the first term of the sequence: 10, 15, 20, ...?

Back

The first term is 10.