To find the nth term, first, find the common difference in the sequence. [It is the common difference because the sequence is an example of an arithmetic sequence.] You can easily determine if it is arithmetic if the difference between each term is constant (i.e. does not change).
You subtract the second term by the first term.You subtract the second term by the first term.The same result goes if you subtract the third term by the second, and so on.You subtract the second term by the first term.
The same result goes if you subtract the third term by the second, and so on.
Now, for an arithmetic sequence, we use the formula: , where is the first term, is the "n" term, is the number of terms, and is a commondifference.
You subtract the second term by the first term.The same result goes if you subtract the third term by the second, and so on.Now, for an arithmetic sequence, we use the formula: , where is the first term, is the "n" term, is the number of terms, and is a common difference.From the problem, we have the following givens:
Substitute the givens to the formula.
Substitute the givens to the formula.You can also write it by just substituting the said given. No more solving needed. But if you would ask me, I prefer it to be solved and simplified like .
Haha It is kind of helpful in situations like having another question and you need to use that rule or so in a problem
Answers & Comments
Step-by-step explanation:
To find the nth term, first, find the common difference in the sequence. [It is the common difference because the sequence is an example of an arithmetic sequence.] You can easily determine if it is arithmetic if the difference between each term is constant (i.e. does not change).
You subtract the second term by the first term. You subtract the second term by the first term.The same result goes if you subtract the third term by the second, and so on. You subtract the second term by the first term.
The same result goes if you subtract the third term by the second, and so on.
Now, for an arithmetic sequence, we use the formula: , where is the first term, is the "n" term, is the number of terms, and is a common difference.
You subtract the second term by the first term.The same result goes if you subtract the third term by the second, and so on.Now, for an arithmetic sequence, we use the formula: , where is the first term, is the "n" term, is the number of terms, and is a common difference.From the problem, we have the following givens:
Substitute the givens to the formula.
Substitute the givens to the formula.You can also write it by just substituting the said given. No more solving needed. But if you would ask me, I prefer it to be solved and simplified like .
Haha It is kind of helpful in situations like having another question and you need to use that rule or so in a problem