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Kazeer [188]
3 years ago
15

Find an explicit rule for the nth term of the sequence. 2, -8, 32, -128, ...

Mathematics
1 answer:
Akimi4 [234]3 years ago
8 0
A1=2
a2=-8
a3=32
a4=-128

a2/a1=(-8)/2→a2/a1=-4
a3/a2=32/(-8)→a3/a2=-4
a4/a3=(-128)/32→a4/a3=-4

a2/a1=a3/a2=a4/a3=r=-4

an=a1*r^(n-1)
an=2*(-4)^(n-1)

The explicit rule for the nth term of the given sequence is an=2*(-4)^(n-1) 
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3 0
3 years ago
A jar has 32 marbles. Some are blue and the rest are green. There are three times as many green marbles as blue. How many green
ella [17]

Answer: 24

Step-by-step explanation:

Number of marbles in jar = 32

Let blue marbles be represented by b.

Since there are three times as many green marbles as blue. This means that green will be = 3 × b = 3b

We then add them together. This will be:

3b + b = 32

4b = 32

b = 32/4

b = 8

There are 8 blue marbles

Since green is 3× blue. Therefore,

Green = 8 × 3 = 24 marbles

7 0
3 years ago
What is the common difference, d, in the arithmetic sequence defined by the formula below? an=2n+1
marishachu [46]
<h3><u>Answer:</u></h3>

  • d = 2

<h3><u>Solution:</u></h3>

We are given that the arithmetic progression is defined by :

➝ 2n + 1

<em>Therefore, </em>

  • <u>For </u><u>first </u><u>term</u>

➙ n = 1

➝ 2 × 1 + 1

➝ 2 + 1

➝ 3

  • <u>For </u><u>second </u><u>term</u>

➙ n = 2

➝ 2 × 2 + 1

➝ 4 + 1

➝ 5

  • <u>Common </u><u>difference</u>

➙ 2nd term - 1st term

➝ 5 - 3

➝ 2

<h3><u>More </u><u>information</u><u>:</u></h3>

  • The difference between the successive term and the preceding term is the difference of an arithmetic progression. It is always same for the same arithmetic progression.

5 0
2 years ago
Multiply (5x^2 + x-4(x+2)
bagirrra123 [75]

Answer:

5x^2-3x-8

Step-by-step explanation:

So you will want this to be simplified.

expanding brackets is a great way of doing this

one you have expanded all brackets u get the answer above

:)

4 0
3 years ago
If x = −3, which number line shows the value of |x|? (5 points)
Arada [10]
Can’t see your answer choices but the absolute value of -3 is 3 so I would say 3 is your answer
3 0
2 years ago
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