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3 years ago

Sam opened a savings account with a deposit of $50. Every month after that, he

Mathematics

1 answer:

Alexeev081 [22]3 years ago

7 0

Step-by-step explanation:

It is given that,

Sam opened a savings account with a deposit of $50. Every month after that, he deposited $20 more.

It is not a proportional relationship. As initial amount was $50 and every month he deposited $20 more. The ratio is not constant for the deposited amounts.

To make the relationship proportional, he must start with zero balance and then should have deposited $20 every month.

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What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

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Answer:

$a_n=\frac{-1}{2}a_{n-1}$

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Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

$\frac{-1}{2}$

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They are all equal to $\frac{-1}{2}$ .

So we are saying:

$\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}$

More formally:

$\frac{a_n}{a_{n-1}}=\frac{-1}{2}$ .

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$a_n=\frac{-1}{2}a_{n-1}$

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

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