Arithmetic Sequences Test Grade

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 (d) in an arithmetic sequence?

Back

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

Front

Is the sequence 21, 13, 5, -3 an arithmetic sequence?

Back

Yes, the common difference is -8.

Front

Is the sequence 1, 4, 9, 16 an arithmetic sequence?

Back

No, the differences between terms are not constant.

Front

What is the formula for 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.

Front

If a_1 = 5 and d = 0.5, what is the 25th term?

Back

The 25th term is 17.

Front

Identify a_1 and d for the sequence -5, -2, 1, 4.

Back

a_1 = -5 and d = 3.

Front

How do you find the 22nd term of the sequence 5, 8, 11?

Back

Use the formula: a_n = a_1 + (n-1)d. The 22nd term is 68.

Front

What is the first term (a_1) in the sequence 3, 7, 11, 15?

Back

The first term a_1 is 3.

Front

What is the common difference (d) in the sequence 3, 7, 11, 15?

Back

The common difference d is 4.