Arithmetic Sequence

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

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: d = a(n+1) - a(n).

Front

Given the sequence -18, -23, -28, -33, what is the common difference?

Back

d = -5.

Front

Identify the common difference in the sequence 97, 86, 75, 64.

Back

d = -11.

Front

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

Back

The nth term (a_n) 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

Find the 10th term of the arithmetic sequence: 2, 5, 8, ...

Back

a_10 = 2 + (10-1)3 = 29.

Front

Is the sequence 17, 9, 1, -7 an arithmetic sequence?

Back

Yes, the common difference is -8.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d.

Front

Find a_26 in the arithmetic sequence: -15, -35, -55, -75.

Back

a_26 = -15 + (26-1)(-20) = -515.

Front

What does it mean if a sequence is not arithmetic?

Back

If a sequence is not arithmetic, it means the difference between consecutive terms is not constant.