defining function is f(x) = 3x+b. If 27 is a member of this sequence, what is the next consecutive member of this sequence?
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f(x)=3x+b
f(x+1)= 3x + 3 + b
so there is a difference of 3 between numbers. Next number is 27 + 3
To find the next consecutive member of the sequence defined by the function f(x) = 3x + b, where 27 is already a member, you can follow these steps:
Step 1: Plug in the value of x from the given member into the function.
f(x) = 3x + b
Step 2: Substitute x with the given value of 27.
f(27) = 3(27) + b
Step 3: Simplify the equation.
f(27) = 81 + b
Step 4: Since you have the value of the function for the given member, add the difference of 3 to it to find the next member.
Next member = 27 + 3 = 30
Therefore, the next consecutive member of the sequence is 30.