Sophia College Algebra Unit 5 Milestone

Sophia College Algebra Unit 5
Milestone

,Sophia College Algebra Unit 5
Milestone
17/22 that's 77%
Well done! If you keep getting Milestone scores like this you'll pass
the course.
17 questions were answered correctly.
5 questions were answered incorrectly.
1




RATIONALE
This is the formula to find the sum of a finite geometric sequence. We will use inform
given sequence to find values for , , and . Let's start by finding , the


first term.
In the above sequence, the first term is . So we will substitute for in the

geometric sequence formula. Next, let's determine the variable .


To find , divide the value of any term by the value of the term before it to find the

, difference. For example, so . Finally, we need to review how many terms we

consider, which will be .


We are asked to find the sum of the first 10 terms, so . We can now substitute va

, , and to solve for .


Once the values for , , and have been plugged into the sum formula, we

the numerator.
to the power of is . Next, evaluate the subtraction in both the numerato

denominator.
minus is and minus is . Then, divide the numerator and d


The negative values in the numerator and denominator cancel to result in a positive

Finally, multiply this by to find the sum.


The sum of the first ten terms in the sequence is .


CONCEPT
Sum of a Finite Geometric Sequence
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