3 years ago

Kristen has $22.50. Anna has $28.50. Use the following to determine how many pounds of mixed nuts each can buy.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

7 0

There isn't enough info to solve the problem. How much does each pound of mixed nuts cost?

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Recursive Formula

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Step-by-step explanation:

The formula for the geometric sequence: $-\dfrac{1}{9} ,\dfrac{1}{3}, -1,3,-9,\cdots$ is given as:

$f(x)=-\dfrac{1}{9}(-3)^{x-1}$

<u>Common Ratio</u>

Dividing the next terms by the previous terms, we obtain:

$\dfrac{1}{3} \div -\dfrac{1}{9} = \dfrac{1}{3} \times -9 =-3\\3 \div -1 =-3\\-9 \div 3 =-3$

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We observe that the next term, $f(n)$ is obtained by the multiplication of the previous term. f(n-1) by -3.

Therefore, a recursive formula for the sequence is:

$f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},$

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