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yaroslaw [1]
4 years ago
7

What is the next term in the sequence below? -324,108,-36,12,...

Mathematics
2 answers:
liq [111]4 years ago
5 0
This is a geometric sequence with a common ratio of -1/3 and an initial term of -324.  Any geometric sequence can be expressed as:
a(n)=ar^(n-1), in this case a=-324 and r=-1/3 so
a(n)=-324(-1/3)^(n-1)  so the 5th term will be
a(5)=-324(-1/3)^4
a(5)=-324/81
a(5)= -4
vesna_86 [32]4 years ago
3 0
The next term is the sequence is -4
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Match the following expression 12(x-3)+18=4(3x-3) with the number of solutions below.
AnnyKZ [126]
12(x-3)+18=4(3x-3)

Distribute.

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Add like terms.

12x-18=12x-12

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Find an explicit formula for the arithmetic sequence -5,13,31,49
Keith_Richards [23]

an explicit formula for the arithmetic sequence -5,13,31,49 is  a_n =18n-23 .

<u>Step-by-step explanation:</u>

Here we have an arithmetic sequence -5,13,31,49 . We need to find an explicit formula for the arithmetic sequence  .Let's find out:

Let  a_1 = -5 , a_2=13 ,a_3=31,a_4=49 be terms of an A.P , common difference is :

⇒ d=a_2-a_1

⇒ d=13-(-5)

⇒ d=13+5

⇒ d=18

We know that general term of an Arithmetic Progression ( A.P) is :

⇒ a_n = a+(n-1)d

So , Here we will have  a_n = -5+(n-1)18

⇒ a_n = -5+(n-1)18

⇒ a_n = -5+18n-18

⇒ a_n =18n-23

Therefore , an explicit formula for the arithmetic sequence -5,13,31,49 is  a_n =18n-23 .

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4 years ago
Can someone help me please 1-6
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Answer:

ill help you if you help me

Step-by-step explanation:

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The entrance fee is proportional to the number of visitors at A)museum a.

In arithmetic, two sequences of numbers, often experimental statistics, are proportional or at once proportional if their corresponding factors have a regular ratio, that's called the coefficient of proportionality or proportionality consistent.

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