Find the sum of the following series. Use the equation tool when showing your work. I need the correct answer ASAP!

Answer:

$193.5$

Step-by-step explanation:

The first term of this sequence is a=1.

The last term of the sequence is

$9 \frac{3}{4}$

The common difference is d=1.25-1=0.25

We can determine the number of terms in the sequence using

$a_n=a+d(n-1)$

That is:

$9.75=1+0.25(n-1)$

$9.75=1+0.25n-0.25$

$9.75 - 1 + 0.25=0.25n$

$9 = 0.25n$

$n = \frac{9}{0.25} = 36$

The sum of the terms is given by

$S_n = \frac{n}{2} (a + l)$

This implies that:

$S_{36}= \frac{36}{2} (1 + 9.75)$

$S_{36}=18(10.75)$

$S_{36}=193.5$

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