A formula for finding the terms of a sequence is shown below. LaTeX: a_1=100a 1 = 100

LaTeX: a_n=\frac{1}{2}a_n-1a n = 1 2 a n − 1
Which formula represents the same sequence?

A. LaTeX: a_n=100\left(\frac{1}{2}\right)^na n = 100 ( 1 2 ) n

B. LaTeX: a_n=100\left(\frac{1}{2}\right)^{n- 1}a n = 100 ( 1 2 ) n − 1

C. LaTeX: a_n=200\left(\frac{1}{2}\right)^{n+ 1}a n = 200 ( 1 2 ) n + 1

D. LaTeX: a_n=200\left(\frac{1}{2}\right)^{n- 1}a n = 200 ( 1 2 ) n − 1

Group of answer choices

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.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct