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 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 6th term of the arithmetic sequence: 2, 5, 8, 11, ...

Back

The 6th term is 14.

Front

What is the common difference in the sequence: 4, 7, 10, 13, ...?

Back

The common difference is 3.

Front

Identify the type of sequence: 1, 4, 7, 10, ...

Back

This is an arithmetic sequence.

Front

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

Back

The 5th term is 2.

Front

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

Back

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

Front

Find the 10th term of the arithmetic sequence: 3, 6, 9, 12, ...

Back

The 10th term is 30.

Front

What is the common difference in the sequence: -5, -2, 1, 4, ...?

Back

The common difference is 3.

Front

Determine if the sequence: 5, 10, 15, 20, ... is arithmetic.

Back

Yes, it is an arithmetic sequence with a common difference of 5.