Answer:
Step-by-step explanation:
Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is
where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then
a1 = 2 and r = 3. Therefore, the explicit formula is
and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.
Answer:
the last one
Step-by-step explanation:
The scale is a representation of what the drawing is to real life. The drawing will tend to be represented by a fixed figure such as 1 cm. In this case for every cm of drawing it is a representation of 8 millimetres in real life, therefore the drawing is bigger than the object.
Answer:
The original duration of the tour is 18 days.
Step-by-step explanation:
Let
the number of days spent be T
Daily expenses be D
Initially ,
total tour expenses was 360
-------------(1)
If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3
---------------(2)
Expanding the eqaution(2)
DT-3D + 4T -12 = 360
Substituting the value of D
Solving the quadratic equation we get
T = 18 and T = -15
T is the number of gays and it cannot be negative , hence T is 18
Substituting in equation (1) we get
D = 20
Answer:
-1.2 cm
Step-by-step explanation:
Let's figure out where the ant is after each step.
Step 1
Start at +3.0
Move left <u> - 1.5
</u>
Now at +1.5
Step 2
Start at +1.5
Move right <u> + 4.9
</u>
Now at +6.4
Step 3
Start at +6.4
Move left <u> - 7.6
</u>
Now at -1.2
The ant is now at -1.2 cm.
