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3 years ago

Number 13 I don’t get it

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

<h3>Answer: 1/2 (choice A)</h3>

===========================================

Explanation:

The two equations given to us are

ab = 3
ab^2 = 18

Divide the second equation over the first equation and that would lead to b = 6

Notice how the 'a' terms divide to 1 and go away, i.e. cancel out.

The b terms divide to (b^2)/b = b

The right hand side values divide to 18/3 = 6

So that's how we end up with b = 6

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Now if b = 6, then we can say,

ab = 3

a*6 = 3

a = 3/6

a = 1/2

Or we could say

ab^2 = 18

a*6^2 = 18

a*36 = 18

a = 18/36

a = 1/2

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Step-by-step explanation:

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3 years ago

State weather each sequence is arthmetic and justify your answer. If the sequence is artithmetic write a recursive and an explic

creativ13 [48]

The sequence is an arithmetic sequence.

The explicit formula for the given sequence is: a_n = 64-12n

Further explanation:

In order to find if the given sequence is arithmetic or not, the common difference has to be checked. The common difference the the difference between two consecutive terms of an arithmetic sequence.

So,

40-52 = -12

28-40 = -12

16-28 = -12

The common difference is same i.e. d = -12 so the given sequence is arithmetic sequence.

Explicit formula for Arithmetic Sequence:

The general formula for arithmetic sequence is:

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d = -12

Putting the values in general formula for arithmetic sequence

$a_n = a_1+(n-1)d\\a_n = 52+(n-1)(-12)\\a_n = 52-12n+12\\a_n = 64-12n$

<u>Keywords:</u> Arithmetic Sequence, Recursive Formula

<u>Learn more about arithmetic sequence at:</u>

#LearnwithBrainly

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4 years ago

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