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: -34, -29, -24, -19, ...?

Back

+5

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

Back

68

Front

What is the common difference in the sequence: 5, 8, 11, ...?

Back

+3

Front

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

Back

Yes, the common difference is -8.

Front

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

Back

No, the differences between terms are not constant.

Front

Find the 41st term in the arithmetic sequence: 230, 226, 222, 218 ...

Back

70

Front

What is the formula to find the common difference in an arithmetic sequence?

Back

The common difference d can be found using d = a_n - a_(n-1), where a_n is the nth term and a_(n-1) is the previous term.

Front

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

Back

18