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 the sequence: 10, 20, 30, 40, ...?

Back

10

Front

Is the sequence 17, 9, 1, -7, ... arithmetic?

Back

Yes

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, where a_1 is the first term and d is the common difference.

Front

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

Back

-146

Front

What is the common difference in the sequence: 97, 86, 75, 64, ...?

Back

-11

Front

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

Back

The sum S_n of the first n terms is given by S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

Find a_26 in the arithmetic sequence: -15, -35, -55, -75, ...

Back

-515

Front

What is the common difference in the sequence: 5, 10, 15, 20, ...?

Back

5

Front

Is the sequence 3, 6, 9, 12, ... arithmetic?

Back

Yes