Consider the geometric sequence below
( shown in picture )
select all functions that define the given sequence
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The Option 1 and Option 4 are correct.

Step-by-step explanation:

The geometric sequence is:

-4,-6,-9,-27/2,-81/2,

The Option 1 and Option 4 are correct.

f(1) = -4.

f(n) = 3/2 f(n-1)

Put n=2

f(2) = 3/2(f(1)

f(2) = 3/2(-4)

f(2) = -6

So, we get the series using this formula

Option 1 is correct.

Option 4 has formula

f(n) = -4 (3/2)^n-1

Put n= 1

f(1) = -4(3/2)^0

f(1) = -4

Put n = 2

f(2) = -4(3/2)^2-1

f(2) = -4(3/2)

f(2) = -6

Put n=3

f(3) = -4(3/2)^3-1

f(3) = -4(3/2)^2

f(3) = -4(9/4)

f(3)=-9

So we get the series, Hence Option 4 is correct.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it