Consider this sequence: -81, -54, -36, -24, … . The sequence is . The common ratio of the sequence is . The sum of the first five terms of the sequence is .

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javh10

Answer:

The reason for the decreasing sequence is [tex]\frac{2}{3}[/tex]

the sum of the sequence is -243

Step-by-step explanation:

Note that the numbers are decreasing so we will use the following formula to find the sum:

S∞=[tex]\frac{t1}{1-q}[/tex],

where t1 is equal to the first number of the sequence and q is the reason that gives the following results.

to find q this form is used;  

q= [tex]\frac{t2}{t1}= \frac{-54}{-81} =\frac{2}{3}[/tex]

then we replace in the formula of the sum to find the total

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