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Vesna [10]
2 years ago
9

Find the 13th term of the sequence 8, -16, 32, -64, ...

Mathematics
2 answers:
Romashka [77]2 years ago
8 0
This is a geometric sequence because dividing any term by the previous term results in a constant called the common ratio.  Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.

The common ratio,r, is -16/8=32/-16=-64/32=-2, and the first term, a, is 8

So the rule for this sequence is:

a(n)=8(-2)^(n-1), so the 13th term is:

a(13)=8(-2^12)

a(13)=32768
barxatty [35]2 years ago
6 0
The pattern is to multiply by -2 each time
8
-16
32
-64
128
-256
512
-1024
2048
-4096
8192
-16384
32768
Answer is A

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Which quadratic equation defines the function that has zeros at − 1/12 and 1/4 ?
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3 years ago
Convert 213base four to base5​
kakasveta [241]

Answer:

213 in base 4 = 124 in base 5

Step-by-step explanation:

First we convert base 4 to base 10

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2*42 + 1*41 + 3*40

32 + 4 + 3

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39/5  

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3 years ago
Which represents the solution(s) of the graphed system of equations, y = x2 – 2x and y = –2x – 1? (1, –1) (0, 0) and (0, –1) (0,
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ANSWER

No solution

EXPLANATION

The first equation is

y =  {x}^{2}  - 2x

and the second equation is

y =  - 2x  - 1

We equate the two equations to obtain;

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Therefore, the equation has no solution.

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