Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
Answer:
40 tubes
Step-by-step explanation:
1 liter = 1,000 milliliters
2 liters = 2,000 milliliters
3 liters = 3,000 milliliters
A tube of toothpaste = 75 ml
How many tubes can be filled using 3 litres of toothpaste?
Let
x = number of tubes
x tubes of toothpaste = 3000 ml
x = 3000 ml / 75 ml
x = 40
x = number of tubes = 40 tubes
18 = 4 × 4 + 4 −√4 = (44 ÷ √4) − 4
Volume of triangular prism is 75.833333333
volume for rectangular prism is 96
The formula for the area of the circle is:
All you have to do is plug in 8 for r :)
