Sequences and Series
Help Questions
SSAT Upper Level Quantitative › Sequences and Series
What is the value of 
Explanation
This is a geometric sequence since the pattern of the sequence is through multiplication.
You have to multiple each value by 
The value before 
What is the value of
Explanation
This is a geometric sequence since the pattern of the sequence is through multiplication.
You have to multiple each value by
The value before
What is the value of
Explanation
This is a geometric sequence since the pattern of the sequence is through multiplication.
You have to multiple each value by
The value before
Three consecutive integers have sum 
Explanation
Let the middle integer of the three be 
This contradicts the condition that the numbers are integers. Therefore, three integers satisfying the given conditions cannot exist.
Three consecutive integers have sum
Explanation
Let the middle integer of the three be
This contradicts the condition that the numbers are integers. Therefore, three integers satisfying the given conditions cannot exist.
Three consecutive integers have sum
Explanation
Let the middle integer of the three be
This contradicts the condition that the numbers are integers. Therefore, three integers satisfying the given conditions cannot exist.
Set R consists of multiples of 4. Which of the following sets are also included within set R?
Set W, containing multiples of 8.
Set X, containing multiples of 2.
Set Y, containing multiples of 6.
Set Z, containing multiples of 1.
Set Q, containing multiples of 7.
Explanation
The easiest way to solve this problem is to write out the first few numbers of the sets.
Set R (multiples of 4):
Set W (multiples of 8):
Set X (multiples of 2):
Set Y (multiples of 6):
Set Z (multiples of 1):
Set Q (multiples of 7):
Given that Set W is the only set in which the entire set of numbers is reflected in Set R, it is the correct answer.
Set R consists of multiples of 4. Which of the following sets are also included within set R?
Set W, containing multiples of 8.
Set X, containing multiples of 2.
Set Y, containing multiples of 6.
Set Z, containing multiples of 1.
Set Q, containing multiples of 7.
Explanation
The easiest way to solve this problem is to write out the first few numbers of the sets.
Set R (multiples of 4):
Set W (multiples of 8):
Set X (multiples of 2):
Set Y (multiples of 6):
Set Z (multiples of 1):
Set Q (multiples of 7):
Given that Set W is the only set in which the entire set of numbers is reflected in Set R, it is the correct answer.
Set R consists of multiples of 4. Which of the following sets are also included within set R?
Set W, containing multiples of 8.
Set X, containing multiples of 2.
Set Y, containing multiples of 6.
Set Z, containing multiples of 1.
Set Q, containing multiples of 7.
Explanation
The easiest way to solve this problem is to write out the first few numbers of the sets.
Set R (multiples of 4):
Set W (multiples of 8):
Set X (multiples of 2):
Set Y (multiples of 6):
Set Z (multiples of 1):
Set Q (multiples of 7):
Given that Set W is the only set in which the entire set of numbers is reflected in Set R, it is the correct answer.
Find the 
Explanation
To find any term in an arithmetic sequence, use the following formula:
is the term we want to find
is the first term of the sequence
is the number of the term we want to find
is the common difference
For this sequence,
Now, plug in the information to find the value of the 8th term.
