AnswersAlgebra IIArithmetic Sequences

Arithmetic Sequences — Quiz Answers

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Which is true regarding the given sequence? 5 comma 2 comma negative 3 comma negative 10 comma negative 19

A
The sequence is not arithmetic because there is no common difference. The differences are negative 1 third comma negative 1 fifth comma negative 1 seventh and negative 1 ninth .
B
The sequence is arithmetic because the common difference is 1 .
C
The sequence is arithmetic because the common difference is negative 1 .
D
The sequence is not arithmetic because there is no common difference. The differences are negative 3 comma negative 5 comma negative 7 and negative 9 .
3

The relationship between men’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where A sub n is the foot length in inches that corresponds to a shoe size of n A men’s size 9 fits a foot 10 point 3 1 inches long, and a men’s size 13 fits a foot 11 point 7 1 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

A
A sub n is equal to 9 plus 0 point 3 5 times open paren n minus 1 close paren
B
A sub n is equal to 7 point 5 1 plus 0 point 3 5 times open paren n minus 1 close paren
C
A sub n is equal to 10 point 3 1 plus 2 point 8 6 times open paren n minus 1 close paren
D
A sub n is equal to 9 plus 2 point 8 6 times open paren n minus 1 close paren
4

Which of the following is an arithmetic sequence?

A
3 point 1 comma 6 point 2 comma 12 point 4 comma 24 point 8 comma 49 point 6 comma dot dot dot
B
negative 20 comma negative 25 comma negative 30 comma negative 35 comma negative 45 comma dot dot dot
C
negative 15 point 6 comma negative 12 point 9 comma negative 10 point 2 comma negative 7 point 5 comma negative 4 point 8 comma dot dot dot
D
7 point 2 comma 3 point 6 comma 1 point 8 comma 0 point 9 comma 0 point 4 5 comma dot dot dot
5

Which of the following is an arithmetic sequence?

A
Table with 5 columns and 2 rows.Row 1: Column 1, 'n'; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'A sub n'; Column 2, '3'; Column 3, '6'; Column 4, '9'; Column 5, '15'
B
Table with 5 columns and 2 rows.Row 1: Column 1, 'n'; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'A sub n'; Column 2, '2'; Column 3, 'negative 2'; Column 4, 'negative 6'; Column 5, 'negative 10'
C
Table with 5 columns and 2 rows.Row 1: Column 1, 'n'; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'A sub n'; Column 2, 'negative 1'; Column 3, '3'; Column 4, 'negative 3'; Column 5, 'negative 1'
D
Table with 5 columns and 2 rows.Row 1: Column 1, 'n'; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'A sub n'; Column 2, '4'; Column 3, '14'; Column 4, '24'; Column 5, '32'
6

What is the explicit formula for the arithmetic sequence in the given table? n 1 2 3 4 5 A sub n 9 point 2 7 point 4 5 point 6 3 point 8 2

A
A sub n is equal to 9 point 2 plus negative 1 point 8 times open paren 1 minus n close paren
B
A sub n is equal to 1 plus 1 point 8 times open paren n minus 1 close paren
C
A sub n is equal to 2 plus 1 point 8 times open paren 1 minus n close paren
D
A sub n is equal to 9 point 2 plus negative 1 point 8 times open paren n minus 1 close paren
8

The second term of an arithmetic sequence is – 39 The rule A sub n is equal to A sub n minus 1 plus 12 can be used to find the next term of the sequence. What is the explicit rule for the arithmetic sequence?

A
A sub n is equal to negative 39 plus 12 times open paren n minus 1 close paren
B
A sub n is equal to 12 plus negative 39 times open paren n minus 1 close paren
C
A sub n is equal to 12 plus negative 51 times open paren n minus 1 close paren
D
A sub n is equal to negative 51 plus 12 times open paren n minus 1 close paren

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