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 added to each term to get the next term in the sequence.

Front

How do you find the n^th term of an arithmetic sequence?

Back

The n^th term can be found using the formula: a_n = a₁ + (n-1)d, where a₁ is the first term and d is the common difference.

Front

Find the 20th term in the arithmetic sequence: 5, 12, 19, 26...

Back

138

Front

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38...

Back

170

Front

Is the sequence 78, 785, 7855, 78555 arithmetic?

Back

No

Front

Is the sequence 37, 31, 25, 19 arithmetic?

Back

Yes

Front

What is the explicit formula for the n^th term of the sequence: 16, 13, 10, 7...?

Back

a_n = -3n + 19

Front

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

Back

18

Front

What is the common difference of the arithmetic sequence: 4, 8, 12, 16...?

Back

4