To find the seventh term of the geometric sequence, divide first the fifth term by the fourth term to obtain the common ratio. -40 divide by -8 is 5. Then, multiply a5 by the common ratio, 5 twice or a4 by 5 three times. Both solutions will give, an a7 equal to -1000. Thus, a7 is -1000.
15 since it is the coefficient of x.
Answer:
Step-by-step explanation:
Given
Required
The equivalent
Apply law of indices to the inner bracket
Rewrite as:
Expand
Apply law of indices
Answer:
f(x) = -5x + 4
Domain refers to the values of x that would result to a defined value of y. Since the given f(x) is a linear function, then all the values of x would give a corresponding value of y. So, the domain of f(x)=-5x+4 are all real numbers.
Or, plot the given equation to check.
The graph of f(x)=-5x+4 is shown below.
Since the graph is a straight line and can be extended continuously on both ends, this indicates that every values of x, there is a corresponding value of y.
Hence, the domain of the given function are all real numbers.Step-by-step explanation:
Answer:
an = 4n +5
Step-by-step explanation:
First we need to find a common difference
d = a2-a1 = 13-9 = 4
The formula for an
an =a1+d(n-1)
an = 9 + 4(n-1)
Distributing
an = 9+4n-4
Combine like terms
an = 4n +5