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27.06.2019 •
Mathematics
Which sequence matches the recursive formula? an=2an-1+5, where a1=5. a) 5,10,15,20 b) 5,15,35,75. c)5,15,25,35. d) 5,20,35,40
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Ответ:
The recursive formula
means that, to compute the next value, you have to double the previous one and then add 5.
So, we start with 5. To get the second term, we double it and add five, so we have
Next, we will double 15 and add 5:
So, the answer is B, because it's the only option starting with 5,15,35.
Just to check, let's compute the last step:
Which confirms option B
Ответ: