Select the correct rule for this geometric sequence: 3, 12, 48, 192, question 5 options: a(n)=12−3n−1 a(n)=3⋅12n−1 a(n)=3⋅4n−1 a(n)=4⋅3n−1 a(n)=3+12n−1

see explanation

Step-by-step explanation:

given the geometric sequence then the n th term rule is

= .

where r is the common ratio and the first term

here r = = = 4 and = 3, hence

= 3 . ← third option

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

-2

7 - 9 = -2

reversed:

-2 + 9 = 7