Answer:
5
Step-by-step explanation:
60÷6 is 10
54÷6 is 9
30÷6 is 5
I think I might have my math wrong here but I think 5
Answer:
An arithmetic sequence is a sequence with the difference or pattern between two consecutive terms constant.
A geometric sequence is a sequence with a ratio between two consecutive terms constant.
(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)
… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)
… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))
… = (2 - 2√3 <em>i</em> ) / 4
… = 1/2 - √3/2 <em>i</em>
… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))
… = exp(<em>i</em> arctan(-√3))
… = exp(-<em>i</em> arctan(√3))
… = exp(-<em>iπ</em>/3)
By DeMoivre's theorem,
[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1
Both exponential i.e 5 ^x
A is true, surprisingly.
B cannot be true, it alternates.(rule of indices negatives by positive exponent = positive, negative by negative , but -5 x -5 x -5 = + 5)
I'm only imaginging, but C must be right, since it increases exponentially, as opposed to D which only increases quadratically.
