Sequence Practice

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term of a geometric sequence can be calculated using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term, r is the common ratio, and n is the term number.

Front

Calculate the 7th term of a geometric sequence with a_1 = 160 and r = 1/2.

Back

The 7th term is 2.5.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence 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 common difference in the sequence: -34, -29, -24, -19.

Back

The common difference d = 5.

Front

What is the next term in the sequence: 11, 8, 5, 2?

Back

The next term is -1.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term of a geometric sequence is multiplied to get the next term.

Front

Identify the missing number in the sequence: 10, ?, 12, 13.

Back

The missing number is 11.

Front

How do you determine the next term in an arithmetic sequence?

Back

To find the next term in an arithmetic sequence, add the common difference to the last term.