Sophia College Algebra
FINAL EXAM RETAKE GUIDE
Southern New Hampshire University
Actual Questions & Verified Answers with Rationales
100% Guarantee Pass
, SCORE
MILESTONE 22/25
22/25 that's 88% RETAKE
22 questions were answered correctly.
3 questions were answered incorrectly.
1
●
Find the sum of the following geometric series:
10 + 6 + 3.6 + 2.16 + ...
22
25
16
20
,RATIONALE
This is the general formula for the sum of an infinite geometric sequence. We will use
information from the sequence to find and r. Let's start by finding , the value of the first
term.
In the above series, the first term is 10 so we will substitute 10 for in the sum of an infinite
geometric sequence formula. Next, let's determine r, the common ratio.
To find r, divide the value of any term by the value of the term before it to find the common
ratio. For example, 6 divided by 10 is 0.6, so r = 0.6. We can now substitute the values in for
and r to solve for S.
To find the sum, we will first evaluate the denominator.
1 minus 0.6 simplifies to 0.4. Finally, evaluate the division to find the value of the sum.
10 divided by 0.4 equals 25, which is the sum of the infinite geometric sequence.
CONCEPT
Sum of an Infinite Geometric Sequence
2
●
Consider the quadratic function .
What is the graph of this function?
,
FINAL EXAM RETAKE GUIDE
Southern New Hampshire University
Actual Questions & Verified Answers with Rationales
100% Guarantee Pass
, SCORE
MILESTONE 22/25
22/25 that's 88% RETAKE
22 questions were answered correctly.
3 questions were answered incorrectly.
1
●
Find the sum of the following geometric series:
10 + 6 + 3.6 + 2.16 + ...
22
25
16
20
,RATIONALE
This is the general formula for the sum of an infinite geometric sequence. We will use
information from the sequence to find and r. Let's start by finding , the value of the first
term.
In the above series, the first term is 10 so we will substitute 10 for in the sum of an infinite
geometric sequence formula. Next, let's determine r, the common ratio.
To find r, divide the value of any term by the value of the term before it to find the common
ratio. For example, 6 divided by 10 is 0.6, so r = 0.6. We can now substitute the values in for
and r to solve for S.
To find the sum, we will first evaluate the denominator.
1 minus 0.6 simplifies to 0.4. Finally, evaluate the division to find the value of the sum.
10 divided by 0.4 equals 25, which is the sum of the infinite geometric sequence.
CONCEPT
Sum of an Infinite Geometric Sequence
2
●
Consider the quadratic function .
What is the graph of this function?
,
