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Svetlanka [38]
3 years ago
9

What is the next number in the sequence: -2, 4, -8, 16, -32, , ...

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

64

Step-by-step explanation:

This is an Geometric sequence

Common ratio = 2nd term ÷ 1st term = 4 ÷ (-2) = -2

To get the next term multiply the previous term by (-2)

The next term (6th term) = -32 * (-2) =  64

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determine the average rate of change of the function between the given variables h(x) = x; x=a, x=a+h​
Alecsey [184]

Answer:

the average rate of change is 4.

Step-by-step explanation:

Find the average rate of change of f(x)=x^2 on the interval [1,3].

The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.

We have that a=1, b=3, f(x)=x^2.

Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.

6 0
4 years ago
Colin invests £2350 into a savings account. The bank gives 4.2% compound
marin [14]

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

5 0
3 years ago
Fiona divided 3x2+5x-3 by 3x+2. The expression represents the remainder over the divisor.
Lera25 [3.4K]

Answer:

-5

Step-by-step explanation:

Shown in the attachment.

The remainder when 3x^2 +5x -3 is divided by 3x+2 is -5

4 0
3 years ago
Simplified expression of 7z + 8 + 5z – 5z – 9?
Likurg_2 [28]

Answer:

7z-1 hope this helps

Step-by-step explanation:

6 0
3 years ago
Name the scale of the number line shown.
Rzqust [24]

Answer:

scale is 4...... ........

5 0
3 years ago
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