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Crazy boy [7]
3 years ago
11

Consider the sequence 3, -9, 27, -81, .. Find the 14th term of the sequence.

Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0

Answer:

let 'a' be the first term, 'd' be the common difference between all the terms of the sequence

Step-by-step explanation:

therefore, a = 3,

and, d = -9 -3

          = -12

hence the 14th term would be,

=> a + 13d

=> 3 + 13( -12 )

=> 3 - 156

=> - 153

earnstyle [38]3 years ago
5 0

Answer:

<h2>-4782969</h2>

Step-by-step explanation:

The pattern can be seen as just multiplying the current number by -3 and repeating for each succeeding number. By that logic, we can just conventionally keep multiplying -3 until we reach the 14th term. In this case, we get the order

3, -9, 27, -81, 243, -729, 2187, -6561, 19683, -59049, 177147, -531441, 1594323, and lastly -4782969 which is our 14th term.

We can also realize that the 14th term can be found as the 14th power of -3, which also results in -4782969.

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Expanded form of (-p) ³​
8_murik_8 [283]

Answer:

(- p) × (- p) × (- p)

Step-by-step explanation:

(-p)³

(- p) × (- p) × (- p)

5 0
3 years ago
the big wheel could have a 52 inch diameter and the small wheel could have an 18 inch diameter.What is the circumference of the
BlackZzzverrR [31]
Before we begin, let's cross out "the small wheel could have an 18 inch diameter". This is useless information and should be disregarded to avoid confusion. Lots of questions include extraneous information to make you second guess yourself, so it is important to be aware of what the question is asking you and what you need in order to answer it.

The formula for circumference is \pi x diameter. With this formula, we can substitute the value of the diameter, 52, into the equation.

Circumference = 3.14 x 52
Circumference = 163.28

Final Answer: the circumference of the big wheel is 163.28 inches
<span>
</span>
8 0
3 years ago
What is the value of k when the expression 3(7 + x) is equivalent 3(x + k)
Free_Kalibri [48]

Answer:7

Step-by-step explanation:

8 0
3 years ago
Ivanna drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would she need to drive 357 miles?
Nata [24]

Answer:

15.3 GAL.

Step-by-step explanation:

8 0
2 years ago
8 + 3b = -13<br> help pleaseee
sergiy2304 [10]
8 + 3b= -13
-8. -8
3b= -21
Divide by 3
B= -7
5 0
3 years ago
Read 2 more answers
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