AnswersPrecalculusModeling with Sequences and Series

Practice Test Answers

18 verified answers
1
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Which of the following is true?

A
Kevin is correct. Jonathan made an error at step 2.
B
Jonathan is correct. Kevin made an error at step 1.
C
Kevin is correct. Jonathan made an error at step 3.
D
Jonathan is correct. Kevin made an error at step 3.
2
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Which summation formula is equivalent to this series? the sum from n is equal to 0 to 3 of open paren negative 1 fifth close paren to the n th power

A
the sum from n is equal to negative 2 to 1 of negative 5 raised to the negative n power
B
the sum from n is equal to negative 2 to 1 of 5 raised to the negative n power
C
the sum from n is equal to negative 4 to negative 1 of open paren 1 over 25 close paren
D
the sum from n is equal to 4 to 7 of open paren 1 over 25 close paren
3

How can the sum from n is equal to 1 to 25 of 42 be rewritten?

A
42 times 25
B
open paren 1 times 42 close paren plus open paren 25 times 42 close paren
C
open paren 1 times 42 close paren times open paren 25 times 42 close paren
D
42 times open paren 25 minus 1 close paren
4

Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is 62 dollars , and then it increases by 4 percent each month for the rest of the year. Which expression can be used to find the total amount paid in the first 12 months?

A
62 times open paren the fraction with numerator 1 minus 1 point 0 4 to the 12th power and denominator 1 minus 1 point 0 4 close paren
B
62 times open paren the fraction with numerator 1 minus 1 point 0 4 raised to the 0 point 0 4 power and denominator 1 minus 12 close paren
C
62 times open paren the fraction with numerator 1 minus 1 point 0 4 to the 12th power and denominator 1 minus 0 point 0 4 close paren
D
62 times open paren the fraction with numerator 1 minus 0 point 0 4 to the 12th power and denominator 1 minus 0 point 0 4 close paren
6

Consider the sequence 1 comma 3 comma 9 comma 27 comma 81 comma dot dot dot Which statement describes the sequence?

A
The sequence converges to infinity .
B
The sequence converges to negative infinity .
C
The sequence diverges.
D
The sequence converges to 1 .
9

Which statement is true?

A
the sum from n is equal to 1 to infinity of 0 point 2 converges because r is less than 1 .
B
the sum from n is equal to 1 to infinity of 0 point 2 diverges because absolute value of r is less than 1 .
C
the sum from n is equal to 1 to infinity of 0 point 2 diverges because absolute value of r is greater than 1 .
D
the sum from n is equal to 1 to infinity of 0 point 2 converges because r is greater than 1 .
13

Which geometric series converges?

A
2 plus 2 plus 2 plus 2 plus dot dot dot
B
2 plus 4 plus 8 plus 16 plus dot dot dot
C
2 plus 0 point 2 plus 0 point 0 2 plus 0 point 0 0 2 plus dot dot dot
D
2 minus 20 plus 200 minus 2000 plus dot dot dot
14

What is the explicit formula for the arithmetic sequence 4 fifths comma 29 over 30 comma 17 over 15 comma 13 tenths ?

A
A sub n is equal to 1 sixth plus 4 fifths times open paren n minus 1 close paren
B
A sub n is equal to 4 fifths plus open paren negative 1 sixth close paren times open paren n minus 1 close paren
C
A sub n is equal to negative 1 sixth plus 4 fifths times open paren n minus 1 close paren
D
A sub n is equal to 4 fifths plus 1 sixth times open paren n minus 1 close paren
15

Which statement describes the series? the sum from n is equal to 1 to infinity of 2

A
The series diverges and it does not have a sum.
B
The series converges and it has a sum of 4 .
C
The series converges and it does not have a sum.
D
The series diverges and it has a constant ratio of 2.
16

Khalid wrote the given sequence. x minus 1 comma negative 2 x plus 2 comma 4 x minus 4 comma negative 8 x plus 8 comma dot dot dot Which formula can be used to find the 10 th term of the sequence?

A
A sub 10 is equal to open paren x minus 1 close paren times negative 2 raised to the 10 minus 1 power
B
A sub 10 is equal to open paren x minus 1 close paren raised to the 10 minus 1 power
C
A sub 10 is equal to open paren x minus 1 close paren times 2 raised to the 10 minus 1 power
D
A sub 10 is equal to open paren x minus 1 close paren times negative 2 to the 10th power
17

Which of the following can be used to evaluate this series? the sum from n is equal to 1 to 5 of 6

A
6 times open paren the fraction with numerator 1 minus 0 point 6 to the 6th power and denominator 1 minus 6 close paren
B
6 times open paren the fraction with numerator 1 minus 0 point 6 to the 5th power and denominator 1 minus 0 point 6 close paren
C
0 point 6 times open paren the fraction with numerator 1 minus 6 to the 5th power and denominator 1 minus 6 close paren
D
0 point 6 times open paren the fraction with numerator 1 minus 6 to the 5th power and denominator 1 minus 0 point 6 close paren

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