The recursive formula of the sequence is f(n) = 12 + f(n -1), where f(1) = 5
<h3>How to determine the recursive formula?</h3>
The explicit formula of the arithmetic sequence is given as;
f(n) = 5 + 12(n - 1)
Open the bracket
f(n) = 5 + 12n - 12
Evaluate the like terms
f(n)= 12n - 7
Calculate f(1) and f(2)
f(1)= 12(1) - 7= 5
f(2)= 12(2) - 7= 17
The difference between f(1) and f(2) is 12
Hence, the recursive formula of the sequence is f(n) = 12 + f(n -1), where f(1) = 5
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<u>Complete question</u>
The explicit formula of the arithmetic sequence is f(n)=5+12(n-1)
Determine the recursive formula
Answer:
you need to put the reasons and statements
Answer:
x + 8 <= 6, so x <= -2.
Step-by-step explanation
Greatest possible value of 7x is 7(-2) = -14.
Answer:
y = - 3x - 2
Step-by-step explanation:
The function is linear and can be expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table
m = 
= 
= 
= - 3 , then
y = - 3x + c
To find c substitute any ordered pair into the equation
using (0, - 2 ) , then
- 2 = - 3(0) + c = 0 + c ⇒ c = - 2
y = - 3x - 2 ← function rule
