Use the recursive function for the geometric sequence 2,-6,18 and -54 to represent the 9th term
f(9)=f(8)•(-3)
f(9)=f(1)•(-3)^8
f(9)=f(1)+3(8)
f(9)=f(8)+3(8)

The first option is correct.

The following information should be considered:

Now

So,

the 9th term can be found using

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A

Step-by-step explanation:

A recursive formula allows the term in a sequence to be obtained from the previous term.

To find any term in the sequence multiply the previous term by the common ratio r

r = - 6 ÷ 2 = 18 ÷ - 6 = - 3

Thus the 9 th term can be found using

f(9) = f(8) × - 3 = - 3f(8) → A

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)