Arithmetic and Geometric 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

How do you find the common difference in an arithmetic sequence?

Back

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

Front

Find the common difference of the arithmetic sequence 14, 20, 26.

Back

6

Front

What are the next three terms in the arithmetic sequence 12, 7, 2, -3?

Back

-8, -13, -18

Front

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52.

Back

61, 70, 79

Front

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

Back

This sequence is NOT an arithmetic sequence because the difference between terms is not constant.

Front

Is the sequence 24, 15, 6 an arithmetic sequence?

Back

True

Front

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

Back

The nth term 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

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?

Back

32

Front

What is the sum of the first n terms of an arithmetic sequence?

Back

The sum can be calculated using the formula: S_n = n/2 * (a_1 + a_n), where S_n is the sum of the first n terms.