Answer:
a) The missing terms are 9, 13, 21 and 25.
b) If we know that 
and 
, then the n-th term of the sequence is represented by 
.
Step-by-step explanation:
a) Given that elements of the sequence are found by increasing by the same amount, we infer that elements are part of an arithmetical progression. The rate of progression is now determined:
The missing terms are:
The missing terms are 9, 13, 21 and 25.
b) The formula for the arithmetical progression is represented by the following formula:
(1)
Where:
- First element of the sequence.
- Indicator associated with the element of the sequence.
- Progression rate.
If we know that and , then the n-th term of the sequence is represented by .
Answer:
- 1/729
Step-by-step explanation:
math
Answer:
16 years
Step-by-step explanation:
Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:
320000 + 5000x
The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:
624000 - 14000x
The number of years for the city and suburb population to be equal can be gotten from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years the populations of the suburb and the city be equal
Step-by-step explanation:
so, we find the slope-intercept form :
y = ax + b
"a" is the slope (it is always the factor of x), "b" is the y-intercept (the y-value when x = 0).
we have the slope : -6
and the given point (0, -10) gives us already the y-value when x = 0 : -10
therefore, the equation is
y = -6x - 10
