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marysya [2.9K]
3 years ago
12

Write the explicit formula that represents the geometric sequence-2, 8, -32, 128

Mathematics
1 answer:
maks197457 [2]3 years ago
4 0
Well,  since we know is a geometric sequence, we can always get the common ratio  of it by simply dividing one value by the one behind it... so let's do so, with say hmm -32 and 8  -32/8 = -4  <-- our common ratio

the first term is -2

\bf n^{th}\textit{ term of a geometric sequence}\\\\&#10;a_n=a_1\cdot r^{n-1}\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;r=\textit{common ratio}\\&#10;----------\\&#10;a_1=-2\\&#10;r=-4&#10;\end{cases}\implies a_n=-2(-4)^{n-1}
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A mass club has 40 members the number of girls is five less than two times the number of boys how many members are boys how many
Lorico [155]

Answer:

15 boys and 25 girls

Step-by-step explanation:

The sum of boys (b) and girls (g) is given as 40:

g + b = 40

The number of girls is 2 times the number of boys minus 5:

2b - 5 = g

First formula can be rewritten as g = 40 - b

Then you can substitute this for g in the second, and you get:

2b-5 = 40-b

Which simplifies to:

2b + b = 40 + 5

3b = 45

b = 15

g = 40-15 = 25

15 boys, 25 girls.

6 0
3 years ago
Write the equations for the graphs below (worth 5 points) ​
serg [7]
Answers:

10) y= 1/2x - 2
11) y= 2x + 3
12) y= 2/3x - 4

I found this by using y=mx+ b
3 0
2 years ago
Read 2 more answers
Help me to solve this
antoniya [11.8K]
The answer is 2cm

8 \times 10 {}^{ - 3} \times 250 = 2000 \times 10 {}^{ - 3} \\ = 2
or:
8 \times {10}^{ - 3} \times 250 = 0.008 \times 250 \\ = 2

good luck
4 0
2 years ago
The questions is in the picture so are the answers pls help!!! I’ll pick brainliest
SashulF [63]
The first choice because it’s easier than having to add a bunch of numbers so S=(9)(2)(4)
4 0
3 years ago
Write out the steps in solving 3/4 x 2 2/5
max2010maxim [7]
3/4 × 2 2/5

Turn 2 2/5 into an improper fraction.

2 2/5 = (5 × 2) + 2 = 12

So, 2 2/5 = 12/5

So, our new question is : 3/4 × 12/5

Multiply the numerators (top numbers) with one another.

Numerators : (3 × 12) = 36

Multiply the denominators (bottom numbers) with one another.

Denominators : (4 × 5) = 20

So, our answer is 36/20

However, we need this to be a mixed number.

So, how many times does 20 go into 36? Once!

So, Multiply 20 with 1, and then subtract that number from 36! :)

20 × 1 = 20

36 - 20 = 16

So, our answer is :

1 16/20

Then, you simplify it once more.

Divide the numerator and denominator by 4.

16 ÷ 4 = 4

20 ÷ 4 = 5

So, our final answer is 1 4/5


~Hope I helped!~
7 0
2 years ago
Read 2 more answers
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