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

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

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

Back

The 20th term is 138.

Front

What is the common difference in the sequence: 29, 21, 13, 5...?

Back

The common difference is d = -8.

Front

Find the common difference in the sequence: -18, -23, -28, -33...

Back

The common difference is d = -5.

Front

Find the common difference in the sequence: -34, -29, -24, -19...

Back

The common difference is d = 5.

Front

Find the 22nd term of the sequence: 5, 8, 11...

Back

The 22nd term is 68.

Front

What is the first term of the arithmetic sequence if the 5th term is 20 and the common difference is 3?

Back

The first term is 8.

Front

If the first term of an arithmetic sequence is 10 and the common difference is 4, what is the 10th term?

Back

The 10th term is 46.