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Igoryamba
1 year ago
4

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

Mathematics
1 answer:
irina1246 [14]1 year ago
6 0

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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