The formula for the general term of the sequence is Tn = 4n - 2
<h3>How to determine the formula?</h3>
The sequence is given as:
{2, 6, 10, 14, 18, . . . }
The above sequence is an arithmetic sequence with the following features:
- First term, a = 2
- Common difference, d = 4 i.e. 6 - 2
The formula for the general term is calculated using:
Tn = a + (n - 1) * d
This gives
Tn= 2 + (n - 1) * 4
Expand
Tn = 2 + 4n - 4
Evaluate the like terms
Tn = 4n - 2
Hence, the formula for the general term of the sequence is Tn = 4n - 2
Read more about sequence at:
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Answer:
51/4539=.01123596
4539/51=89
Step-by-step explanation:
Answer:
B. 7(6x – 1) and 42x – 7 is equivalent
Step-by-step explanation:
A. –3(3x + 5) and –9x + 5
=–3(3x + 5)=-9x-15 not equivalent
B. 7(6x – 1) and 42x – 7
7(6x – 1)=42x-7 equivalent
C. –6(4x – 3) and –6x
=–6(4x – 3)=-24+18 not equivalent
D. 5(2x + 3y) and 25xy
=5(2x + 3y)=10x+15y not equivalent.
Answer:
Step-by-step explanation:
1 .
- x - 8 < 13
- x < 8 + 13
- x < 21
2.
- x - 8 > -13
- x > 8 - 13
- x > -5
<u>Combined answer</u>
Answer:
<h2>x = 7</h2>
Step-by-step explanation:
To find the value of the value of x when
y = 14 we must first find the relationship between them
The statement
The value of y varies directly with x is written as

where k is the constant of proportionality
when x = 218
y = 436
So we have
436 = 218k
Divide both sides by 218
k = 2
So the formula for the variation is
<h2>y = 2x</h2>
when y = 14
We have
14 = 2x
Divide both sides by 2
<h3>x = 7</h3>
Hope this helps you.