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jeka57 [31]
3 years ago
11

Here are the first five terms of a number sequenceS . 10 16 22 28 34 Find an expression, in terms of n , for the nth term of thi

s sequence.
Mathematics
1 answer:
andrew11 [14]3 years ago
8 0

Answer:

t = 4 + 6n

Step-by-step explanation:

a = 10

d = 6

in general

tn = a + (n-1)*d

tn = 10 + (n-1)*6

tn = 10 + 6n - 6

tn = 4 + 6n

So if n = 5 then

t5 = 4 + 6*5

t5 = 4 + 30

t5 = 34 which agrees with your givens.

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An equation that passes through (0, -2/3) and (-3, -2/3)
9966 [12]

Answer:

y = 0x - 2/3

Step-by-step explanation:

We are asked to find the equation of the line

Step1: find the slope

( 0 , -2/3) ( 3 , -2/3)

m = (y_2 - y_1 )/ (x_2 - x_1)

x_1 = 0

y_1 = -2/3

x_2 = 3

y_2 = -2/3

Insert the values into the equation

m =( -2/3 - (-2/3) / (3 - 0)

= -2/3 + 2/3 / 3

= 0 / 3

m = 0

Step 2: sub m into the equation

y = mx + c

y = 0x + c

Step 3: sub any of the two points given into the eqn

y = 0x + c

Let's pick ( 3 , -2/3)

x = 3

y = -2/3

-2/3 = 0(3) + c

-2/3 = 0 + c

c = -2/3

Step4: sub c into the equation

y = mx + c

y = 0x + c

y = 0x - 2/3

Therefore, the equation of the line is

y = 0x - 2/3

8 0
3 years ago
What is the perimeter of this shape?
Eduardwww [97]
98 inches is the correct answer.
4 0
3 years ago
Read 2 more answers
Ramona is counting the posts between mile makers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced,
IceJOKER [234]
160 because you need to divide feet to post
4 0
3 years ago
Simplify 2(x - 3) + 7(x + 2)
lyudmila [28]

Answer:

9x + 8.

Step-by-step explanation:

2(x - 3) + 7(x + 2)

= 2x - 6 + 7x + 14

= 2x + 7x - 6 + 14

= 9x + 8.

Hope this helps!

3 0
4 years ago
Read 2 more answers
Show working these two questions​
Tresset [83]

Answer:

4(1- 2x)

h = 9 cm

Step-by-step explanation:

4 - 8x

= 4(1- 2x)

A(\triangle ABC) = \frac{1}{2} \times AB\times h

27= \frac{1}{2} \times 6\times h

27= 3\times h

h =\frac{27}{3}

h =9 \: cm

8 0
3 years ago
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