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dexar [7]
3 years ago
14

Write the first five terms of the geometric sequence. an = 5an-1; a1 = -2

Mathematics
1 answer:
matrenka [14]3 years ago
4 0

a1=-2

a2=-2*5=-10

a3=-10*5=-50

a4=-50*5=-250

a5=-250*5=-1250

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Find the nth term of this number sequence<br> 7, 10, 13, 16, ...<br><br> help please !!
LenKa [72]

Answer:

a_{n} = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

a_{n} = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

8 0
2 years ago
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Suppose the function of h is defined, for all real numbers as follows: (f) x = -3 if x is &lt;) 3 if x is =0 -2 if x is &gt; 0
V125BC [204]

Answer:

See explanation

Step-by-step explanation:

The question is not properly presented; I will answer this with the following similar question.

h(x) = -\frac{1}{3}x^2 + 4 --- x \ne 2

h(x) = -4 --- x= 2

Required

h(-5)\ \&\ h(2)

<u>Calculating h(-5)</u>

This implies that: x = -5

-5 \ne 2

So, we make use of:

h(x) = -\frac{1}{3}x^2 + 4

Substitute -5 for x

h(-5) = -\frac{1}{3} * (-5)^2 + 4

h(-5) = -\frac{1}{3} * 25 + 4

h(-5) = -\frac{25}{3} + 4

Take LCM

h(-5) = \frac{-25+12}{3}

h(-5) = -\frac{13}{3}

<u>Calculating h(2)</u>

This implies that: x = 2

2 = 2

So, we make use of:

h(x) = -4

Substitute 2 for x

h(2) = -4

<em>Use the above explanation to answer your question</em>

3 0
3 years ago
96%
maw [93]

Answer:

  £930  

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic. The annual earnings are expected to be 12 times the monthly earnings.

  T = 0.2(12×£1375 -11850) = 0.2(£16500 -11850) = 0.2(£4650)

  T = £930

The caterer will pay £930 in income tax for the year.

4 0
4 years ago
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Another one! This is so annoying! thank u all who are actually helping me
Gemiola [76]

Answer:

10cm

Step-by-step explanation:

find the diameter of the circumference of 5cm:

d= c÷3.14

=5cm÷3.14

=1.6cm

Double 1.6cm:

1.6×2= 3.2

Find the new cicumference:

c= 3.14×d

= 3.14×3.2

= 10cm

3 0
3 years ago
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Help plz ill give extra points
Vlad [161]

Answer:

B

Step-by-step explanation:

Because its didn't say European

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3 years ago
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