7 - 4n where n denotes the nth term and n starting with 0
an = a1 + d(n - 1)
If the formula for additional terms was the summation of the term before it, the nth term of the series would be the sum of all terms prior. In other words it would be the summation of a through n minus 1.
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
The nth term of an arithmetic sequence = a + [(n - 1) X d]
An arithmetic sequence
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
10 - 4n
an = a1 + d(n - 1)
The 90th term of the arithmetic sequence is 461
The answer depends on what the explicit rule is!
The nth term is referring to any term in the arithmetic sequence. You would figure out the formula an = a1+(n-1)d-10where an is your y-value, a1 is your first term in a number sequence (your x-value), n is the term you're trying to find, and d is the amount you're increasing by.
Tn=4n+16 If you see, it goes like 20, 24,28,..... So, Tn is just equal to 20+(n-1)4, with first term=20, common difference=4
In this case, 22 would have the value of 11.
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
The following formula generalizes this pattern and can be used to find ANY term in an arithmetic sequence. a'n = a'1+ (n-1)d.
If the formula for additional terms was the summation of the term before it, the nth term of the series would be the sum of all terms prior. In other words it would be the summation of a through n minus 1.
The nth term of an arithmetic sequence = a + [(n - 1) X d]