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miajacobs110
23.10.2020 •
Mathematics
Hiroki and Mapiya were asked to find an explicit formula for the sequence 125\,,\,25\,,\,5\,,\,1,...125,25,5,1,...125, comma, 25, comma, 5, comma, 1, comma, point, point, point. Hiroki said the formula is f(n)=625\cdot\left(\dfrac{1}{5}\right)^{\large{n}}f(n)=625⋅( 5 1 ) n f, left parenthesis, n, right parenthesis, equals, 625, dot, left parenthesis, start fraction, 1, divided by, 5, end fraction, right parenthesis, start superscript, n, end superscript, and Mapiya said the formula is f(n)=125\cdot\left(\dfrac{1}{5}\right)^{\large{n}}f(n)=125⋅( 5 1 ) n f, left parenthesis, n, right parenthesis, equals, 125, dot, left parenthesis, start fraction, 1, divided by, 5, end fraction, right parenthesis, start superscript, n, end superscript. Which one of them is right?
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Ответ:
Mapiya's explicit formula :
is right
Step-by-step explanation:
Sequence : 125,25,5,1,..
Hiroki's explicit formula :![f(n)=625\cdot\left(\dfrac{1}{5}\right)^{\large{n}}](/tpl/images/0834/9813/b5eab.png)
Mapiya's explicit formula :![f(n)=125\cdot\left(\dfrac{1}{5}\right)^{\large{n}}](/tpl/images/0834/9813/4e7b9.png)
Formula of sequence= a(r)^n
a = First term
n = No. of terms
r=Common ratio
a=125
So,![a(r)^n=125(\frac{1}{5})^n](/tpl/images/0834/9813/d27f6.png)
Hence Mapiya's explicit formula :
is right
Ответ:
It restores trees to areas where they once grew.
Step-by-step explanation: