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Questions and Answers
The common difference of an arithmetic sequence is always 1.
The common difference of an arithmetic sequence is always 1.
False (B)
The formula an = a1 + (n - 1)d is used to find the nth term of a geometric sequence.
The formula an = a1 + (n - 1)d is used to find the nth term of a geometric sequence.
False (B)
If ap and aq are two non-consecutive terms in an arithmetic sequence, then ap = aq.
If ap and aq are two non-consecutive terms in an arithmetic sequence, then ap = aq.
False (B)
The common difference of an arithmetic sequence can be found by subtracting the first term from the last term.
The common difference of an arithmetic sequence can be found by subtracting the first term from the last term.
The arithmetic sequence {a1, a1 + d, a1 + 2d,...} is an infinite sequence.
The arithmetic sequence {a1, a1 + d, a1 + 2d,...} is an infinite sequence.
The nth term of an arithmetic sequence can be found using the formula an = a1 - (n - 1)d.
The nth term of an arithmetic sequence can be found using the formula an = a1 - (n - 1)d.
The common difference of an arithmetic sequence is the average of two consecutive terms.
The common difference of an arithmetic sequence is the average of two consecutive terms.
If a1 = 2 and d = 3, then the 5th term of the arithmetic sequence is 14.
If a1 = 2 and d = 3, then the 5th term of the arithmetic sequence is 14.
The formula an = a1 + (n - 1)d is used to find the first term of an arithmetic sequence.
The formula an = a1 + (n - 1)d is used to find the first term of an arithmetic sequence.
An arithmetic sequence can be represented as {a1, a1 + d, a1 + 2d,...} or as a1, a1 + d, a1 + 2d,....
An arithmetic sequence can be represented as {a1, a1 + d, a1 + 2d,...} or as a1, a1 + d, a1 + 2d,....