Sequences

Front

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

Back

Yes, this is an arithmetic sequence with a common difference of -6.

Front

Find the sequence: 9, -18, 36, -72...........

Back

Multiply by -2.

Front

Find the sequence: 10.5, 13, 15.5, 18...........

Back

Add 2.5.

Front

Is the sequence 2, 4, 12, 48,... geometric?

Back

No, this is not a geometric sequence.

Front

Find the sequence: 2, 4, 8, 16, 32...............

Back

Multiply by 2.

Front

What is an arithmetic sequence?

Back

A sequence in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A sequence in which each term after the first is found by multiplying the previous term by a fixed, non-zero number.

Front

Identify the common difference in the sequence: 5, 8, 11, 14,...

Back

The common difference is 3.

Front

Identify the common ratio in the sequence: 3, 6, 12, 24,...

Back

The common ratio is 2.

Front

What is the nth term formula for an arithmetic sequence?

Back

The nth term is given by a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.