Asequence is defined by the formula f(n+1)=f(n)−3. if f(4)=22, what is f(1)?

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Step-by-step explanation:

We can actually solve the problem by using a reverse approach. In fact, our sequence is defined by

So we can rewrite it as

For n = 3, we get:

where we used the information that we already knew, .

Now we simply use this approach to find all the terms until f(1):

Finally

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step-by-step explanation:

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point