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

Find the next two terms of the arithmetic sequence: 5, 10, 15.

Back

20 and 25.

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

Calculate the 10th term of the arithmetic sequence: 2, 4, 6, 8,...

Back

The 10th term is 20.

Front

Identify the common difference in the sequence: 7, 10, 13, 16,...

Back

The common difference is 3.

Front

Which of the following is an arithmetic sequence? 1, 3, 5, 7,...

Back

Yes, it is an arithmetic sequence with a common difference of 2.

Front

Determine if the sequence 4, 8, 12, 16 is arithmetic.

Back

Yes, it is arithmetic with a common difference of 4.

Front

What is the 25th term of the arithmetic sequence: 3, 6, 9, 12,...

Back

The 25th term is 75.

Front

Which sequence is NOT an arithmetic sequence? 2, 4, 8, 16,...

Back

This is not an arithmetic sequence; it is a geometric sequence.