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Example Questions
Example Question #1 :Arithmetic Sequences
If the first day of the year is a Monday, what is the 295th day?
Saturday
Tuesday
Wednesday
Monday
Monday
The 295th day would be the day after the 42nd week has completed. 294 days/7 days a week = 42 weeks. The next day would therefore be a monday.
Example Question #1 :Arithmetic Sequences
If the first two terms of a sequence areand, what is the 38th term?
The sequence is multiplied byeach time.
Example Question #1 :Arithmetic Sequences
Find theterm of the following sequence:
The formula for finding theterm of an arithmetic sequence is as follows:
where
= the difference between consecutive terms
= the number of terms
Therefore, to find theterm:
Example Question #4 :Arithmetic Sequences
What is therd term of the following sequence:?
Notice that between each of these numbers, there is a difference of; however the first number is, the second, and so forth. This means that for each element, you know that the value must be, whereis that number's place in the sequence. Thus, for therd element, you know that the value will beor.
Example Question #1 :Arithmetic Sequences
What is theth term in the following series of numbers:?
148
Notice that between each of these numbers, there is a difference of. This means that for each element, you will add. The first element isor. The second isor, and so forth... Therefore, for theth element, the value will beor.
Example Question #1 :Nth Term Of An Arithmetic Sequence
Find the sum of the first fifteen terms in an arithmetic sequence whose sixth term isand whose ninth term is.
Use the formulaan=a1+ (n– 1)d
a6=a1+ 5d
a9=a1+ 8d
Subtracting these equations yields
a6–a9= –3d
–7 – 8 = –3d
d= 5
a1= 33
Then use the formula for the series; = –30
Example Question #1 :How To Find The Next Term In An Arithmetic Sequence
Given the sequence of numbers:
1, 5, 9, _ , _ , 21 ....
What are the two missing terms of the arithmetic sequence?
14, 17
13, 17
14, 16
13, 16
12, 18
13, 17
The sequence is defined byan= 4n –3 for suchn= 1,2,3,4....
Example Question #1 :How To Find The Next Term In An Arithmetic Sequence
What is the next term in the following sequence?
What is the next term in the following sequence?
This is an arithmetic sequence with a common difference of. To find the next term in an arithmetic sequence, add the common difference to the previously listed term:
Example Question #1 :Nth Term Of An Arithmetic Sequence
Find the sixth term in the following number sequence.
This question can be answered by analyzing the sequence provided and determining the pattern. The first term is, and the second term isThe third term isThus,has been added toin order to obtain, andhas been added toin order to obtainThis shows thatis added to each preceding term in the sequence in order to obtain the next term. The complete sequence from terms one through six is shown below.
Thus, the sixth term is
Example Question #2 :Nth Term Of An Arithmetic Sequence
What is the next term of the series?
Begin by looking at the transitions from number to number in this series:
Fromto: Add
Fromto: Subtract
Fromto: Add
Fromto: Subtract
From what you can tell, you can guess that the next step will be to add. Thus, the next value will be.
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