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san4es73 [151]
2 years ago
11

11. What is the third term of the recursive sequence below? a1=-6 an=1/2an-1-n Hurryy plzzz

Mathematics
1 answer:
AlexFokin [52]2 years ago
5 0

Answer:

a

Step-by-step explanation:

a_{1} = -6\\\\a_{n}=\frac{1}{2}a_{n-1} - n\\\\a_{2}=\frac{1}{2}a_{1}-2\\\\  = \frac{1}{2}*(-6)-2\\\\ = -3 - 2\\\\= -5\\\\a_{3}=\frac{1}{2}a_{2}-3\\\\= \frac{1}{2}*(-5)-3\\\\=\frac{-5}{2}-3\\\\= \frac{-5}{2}-\frac{3*2}{1*2}\\\\=\frac{-5}{2}-\frac{6}{2}\\\\=\frac{-11}{2}

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