FLASHCARD - Arithmetic Sequences (11/13)

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 -34, -29, -24, -19, what is the common difference?

Back

d = 5.

Front

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

Back

The nth term (a_n) can be calculated 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 35th term in the arithmetic sequence: -10, -14, -18, -22.

Back

The 35th term is -146.

Front

Which of the following sequences is an arithmetic sequence? 2, 4, 8, 16, 32; 3, 6, 9, 12, 15; 1, 4, 9, 16, 25; 5, 10, 20, 40, 80.

Back

3, 6, 9, 12, 15 is an arithmetic sequence.

Front

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

Back

It is an arithmetic sequence.

Front

For the sequence 8, 11, 14, 17, 20, what is the common difference?

Back

The common difference is 3.

Front

What is the difference between an arithmetic sequence and a geometric sequence?

Back

In an arithmetic sequence, the difference between terms is constant, while in a geometric sequence, the ratio between terms is constant.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 2, what is the 10th term?

Back

The 10th term is 23.