APPC SOS #5 Days 1-4 Practice

Front

What is an explicit rule in a sequence?

Back

An explicit rule is a formula that allows you to find the nth term of a sequence directly, without needing to know the previous terms.

Front

What is the explicit rule for the sequence: 11, 22, 44, 88...?

Back

a_n = 11(2)^(n-1)

Front

How do you write the explicit rule for a geometric sequence?

Back

The explicit rule for a geometric sequence is given by a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is the common ratio in a geometric sequence?

Back

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

Front

Given the sequence: 125, 25, 5, ..., what is the explicit rule?

Back

y = 125(1/5)^(x)

Front

What is the twelfth term in the sequence 3, -6, 12, ...?

Back

-6,144

Front

How do you find the nth term of a geometric sequence?

Back

Use the formula a_n = a_1 * r^(n-1), substituting the values for a_1 and r.

Front

What is the formula for the geometric sequence: -3, -6, -12, -24...?

Back

a_n = -3(2)^(n-1)

Front

What is the 12th term of the sequence -3, -6, -12, -24...?

Back

a_12 = -6144

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.