Evaluate each finite series for the specified number of terms...

40+20+10+...; n=10

(Please show work)

the sum of the first 10 terms is: 79.921875

Step-by-step explanation:

Notice that this is a geometric series, of the sequence that has "40" as the first term, and the following ones are obtained by multiplying by the common ratio "1/2".

So the common ratio , and the first term , then, recalling the formula for the partial sum of n terms of a geometric sequence:

we can find the sum of this sequence's first 10 terms (n=10):

answer: 193

explanation:

200-7 = 193