One angle of a triangle measures 126°. the other two angles are congruent. Enter and solve an equation to find the measure x of
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Answer:
The series has 7 terms
Step-by-step explanation:
<u>Geometric Series</u>
In the geometric series, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the series:
-12, -4, -4/3, ..., -4/243
We can find the common ratio by dividing one term by the previous term:
Simplifying:
Sum of terms: Given a geometric series with first term a1 and common ratio r, the sum of n terms is:
We need to find how many terms the series has. Using the explicit formula of a geometric series:
The last term is an=-4/243 and the first term is a1=-12. Solving for n:
n=7
The series has 7 terms
Thus, the sum of the 7 terms of the series is: