Arithmetic Sequences Recursive Formula

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 recursive formula for an arithmetic sequence?

Back

The recursive formula for an arithmetic sequence is given by: a_n = a_(n-1) + d, where d is the common difference.

Front

In the sequence 8, 11, 14, 17, 20, what is a_1?

Back

a_1 = 8.

Front

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

Back

The common difference d = 3.

Front

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

Back

The next three terms are -23, -28, -33.

Front

What is the common difference in the sequence -3, -8, -13, -18?

Back

The common difference d = -5.

Front

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

Back

The sequence 2, 4, 8, 16,... is NOT an arithmetic sequence.

Front

If the first term a_1 = 5 and the common difference d = 2, what is a_4?

Back

a_4 = 5 + 3(2) = 11.

Front

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

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d.

Front

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

Back

The sum S_n = n/2 * (a_1 + a_n).