Which of the following is an arithmetic sequence that could be modeled by an explicit formula expressed as a linear function? A. −1, −8, −27, −64, −125, … B. −5, −2, 3, 10, 19, … C. −5, −1, 3, 7, 11, … D. 1/2, 1/4, 1/8, 1/16, 1/32, …

C

Step-by-step explanation:

Given

- 5, - 1, 3, 7, 11

There is a common difference d between consecutive terms, that is

11 - 7 = 7 - 3 = 3 - (- 1) = - 1 - (- 5) = 4

This indicates the sequence is arithmetic with explicit formula

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 5 and d = 4 , thus

= - 5 + 4(n - 1) = - 5 + 4n - 4 = 4n - 9

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step-by-step explanation:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.