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3 years ago

9

Write a recursive formula for

1 answer:

algol133 years ago

5 0

9514 1404 393

Answer:

a[1] = 3
a[n] = a[n-1] -7

Step-by-step explanation:

A recursive formula consists of two parts:

initialization (rule for the first term(s))
rule for the next term

When we look at the differences between terms in the sequence 3, -4, -11, ..., we find that they are constant at -7. That is each term can be found from the previous one by subtracting 7. This is our recursive rule. The first term is obviously 3, so the recursive formula is ...

a[1] = 3

a[n] = a[n-1] -7

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Step-by-step explanation:

Let be $f(z) = \frac{z}{z+1}$ , the following expression is expanded by algebraic means:

$f(z) = \frac{z\cdot (z-1)}{(z+1)\cdot (z-1)}$

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