Answer:
a) 
, where 
.
b) 
Step-by-step explanation:
The given sequence is
.
The first term of the sequence is
The second term is 
The common ratio for this sequence can be determined using any two consecutive terms in the sequence.
Using the first two terms, the common ratio is
a) The recursive rule is given by,
, where .
b) The explicit rule is given by 
The sum of f and 6 is simply f+6.
It is like this because f is a variable and we do not know its value.
Answer:
y = 2x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (- 4, 2 ) into the partial equation
2 = - 8 + c ⇒ c = 2 + 8 = 10
y = 2x + 10 ← equation of line
