–81, 108, –144, 192, ...

Which formula can be used to describe the sequence?

f(x) = –81(four-thirds) Superscript x minus 1
f(x) = –81(negative three-fourths) Superscript x minus 1
f(x) = –81(negative four-thirds) Superscript x minus 1
f(x) = –81(three-fourths) Superscript x minus 1

The formula which can be used to describe the sequence is:

⇒ 3rd answer

Step-by-step explanation:

The terms of the sequence are -81, 108, -144, 192, ...

∵ 108 ÷ -81 =

∵ -144 ÷ 108 =

∵ 192 ÷ -144 =  

- There is a constant ratio between each two consecutive terms

∴ The sequence is a geometric sequence

The formula of the nth term of the geometric sequence is , where a is the first term and r is the constant ratio between each two consecutive terms

∵ The first term is -81

∴ a = -81

∵ The constant ratio =  

∴ r =  

- Substitute then in the formula above

∴  

Assume that = f(x)

∴ n = x

∴  

The formula which can be used to describe the sequence is:

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.