Identify the type of sequence shown in the table below and select the appropriate response. n f(n) 1 48 2 ? 96 3 192 4 ? 384 5 768 arithmetic sequence; common difference is 96 arithmetic sequence; common difference is ? 144 geometric sequence; common ratio is 3 geometric sequence; common ratio is ? 2

Geometric with a common ratio of 2
2*48=96
96*2=192
192*2=384
384*2=768

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.