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kobusy [5.1K]
3 years ago
7

What is (-2,2) multiplied by 2.5 and (2,1) multiplied by 2.5

Mathematics
1 answer:
Anestetic [448]3 years ago
5 0
(-2, 2) multiplied by 2.5 is given by 2.5(-2, 2) = (-5, 5)

while (2, 1) multiplied by 2.5 is given by 2.5(2, 1) = (5, 2.5)
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Answer:

The equation for the nth term of  the given arithmetic sequence is: \mathbf{a_n=13n+22}

Step-by-step explanation:

We need to write an equation for the nth term of  the arithmetic sequence:

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The equation for arithmetic sequence is: a_n=a_1+(n-1)d

Where a_n is the nth term, a_1 is first term and d is common difference

In the given sequence we have:

a₁ = 15

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We can find common difference using the formula:

a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13

So, the common difference d is 13

Now, equation for nth term will be:

a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2

So, the equation for the nth term of  the given arithmetic sequence is: \mathbf{a_n=13n+22}

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