10 Questions
The common difference of an arithmetic sequence is always 1.
False
The formula an = a1 + (n - 1)d is used to find the nth term of a geometric sequence.
False
If ap and aq are two non-consecutive terms in an arithmetic sequence, then ap = aq.
False
The common difference of an arithmetic sequence can be found by subtracting the first term from the last term.
False
The arithmetic sequence {a1, a1 + d, a1 + 2d,...} is an infinite sequence.
True
The nth term of an arithmetic sequence can be found using the formula an = a1 - (n - 1)d.
False
The common difference of an arithmetic sequence is the average of two consecutive terms.
False
If a1 = 2 and d = 3, then the 5th term of the arithmetic sequence is 14.
True
The formula an = a1 + (n - 1)d is used to find the first term of an arithmetic sequence.
False
An arithmetic sequence can be represented as {a1, a1 + d, a1 + 2d,...} or as a1, a1 + d, a1 + 2d,....
True
This lesson covers the basics of arithmetic sequences and series, including definitions, calculations and related terms. Students will learn to define an arithmetic sequence, find the nth term and understand common differences and arithmetic means.
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