Alg IIB Quarter 3 Review

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What is an arithmetic sequence?

Back

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

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How do you find the common difference in an arithmetic sequence?

Back

The common difference (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

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Given the first term a1 and common difference d, how do you find the nth term of an arithmetic sequence?

Back

The nth term (an) can be found using the formula: an = a1 + (n-1)d.

Front

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

Back

The sum S_n of the first n terms is given by: S_n = n/2 * (2a1 + (n-1)d) or S_n = n/2 * (a1 + an).

Front

How do you calculate the probability of an event?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes: P(E) = Number of favorable outcomes / Total outcomes.

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What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, showing how they overlap.

Front

How do you find the intersection of two sets in a Venn diagram?

Back

The intersection of two sets A and B, denoted as A ∩ B, includes all elements that are common to both sets.

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What does it mean for a sequence to be increasing?

Back

A sequence is increasing if each term is greater than the previous term.

Front

How do you determine the number of students in a class using a Venn diagram?

Back

Count the total number of unique elements represented in the Venn diagram, considering overlaps.

Front

What is the significance of the first term in an arithmetic sequence?

Back

The first term (a1) is the starting point of the sequence and is essential for calculating subsequent terms.