Find the 11th term of the arithmetic sequence. a3 = 20.5 and a8 = 13, a11 = ______. ...?

1 answer:

8 0

In order to solve for a nth term in an arithmetic sequence, we use the formula written as:<span>

an = a1 + (n-1)d

where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.

First, we need to calculate for d from the given values above.
<span>a3 = 20.5 and a8 = 13
</span>

an = a1 + (n-1)d
20.5 = a1 + (3-1)d

</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5

The 11th term is calculated as follows:

a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 = 8.5</span>

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If point C is not located between points A and B, then AC + CB= AB

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<h3>What is the location AC + CB of AB ?</h3>

Because point C can be seen to be in between A and point B, the equation AC + CB must equal AB.

It is important to keep in mind that point C may be located in any part of the space between A and B; yet, the solution will still be considered to be AB in this scenario.

Again, AC + CB = AB.

In conclusion, By way of deduction: if point C is located between points A and B, then it follows that point C is situated on line AB conversely, if point C is not situated on line AB, then it cannot be located between points A and B. As a result, you are able to deduce that AB is a line and that point C is situated on it in the middle of points A and B.