Asequence can be defined by the explicit formula . which recursive formula represents the same sequence of
a.
b.
c.
d.

Option: C is the correct answer.

            C.  

The sequence is given by the explicit formula as:

where is the nth term of the sequence.

Also, the first term of the sequence is:

i.e.

Also,

   Hence, the recursive formula which represents the same sequence is:

                          Option: C

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.