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Katyanochek1 [597]
3 years ago
11

What are the first 5 terms of the sequence where a=1 a, a2=2 and an=1/2(a n-1•a n-2)

Mathematics
1 answer:
Sliva [168]3 years ago
7 0

Answer:

\large\boxed{a.\ 1,\ 2,\ 1,\ 1,\ \dfrac{1}{2}}

Step-by-step explanation:

We have the recursive formula of a sequence:

\left\{\begin{array}{ccc}a_1=1\\a_2=2\\a_n=\dfrac{1}{2}(a_{n-1}\cdot a_{n-2})\end{array}\right\\\\\text{thereofre}\\\\a_3=\dfrac{1}{2}(a_2\cdot a_1)=\dfrac{1}{2}(2\cdot1)=\dfrac{1}{2}(2)=1\\\\a_4=\dfrac{1}{2}(a_3\cdot a_2)=\dfrac{1}{2}(1\cdot2)=\dfrac{1}{2}(2)=1\\\\a_5=\dfrac{1}{2}(a_4\cdot a_3)=\dfrac{1}{2}(1\cdot1)=\dfrac{1}{2}(1)=\dfrac{1}{2}

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