12, 6, 0, -6, ...
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.
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, ...
The answer depends on what the explicit rule is!
It appears to be -6
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
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.
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, ...
We don't see a question like that very often at all. You've said "the following ..." twice in your question. "The following ... " means "I'm about to show you the item". In your question, there are supposed to be both a list of choices AND an arithmetic sequence "following" the question, but neither one is there. We don't stand a chance!
The sequence is neither arithmetic nor geometric.
yes it is
an = a1 + d(n - 1)
The answer depends on what the explicit rule is!
An arithmetic sequence can be defined by a recursive formula of the form ( a_n = a_{n-1} + d ), where ( d ) is the common difference and ( a_1 ) is the first term. The explicit formula for this sequence is given by ( a_n = a_1 + (n-1)d ). Here, ( n ) represents the term number in the sequence. This formula allows you to calculate any term directly without needing to reference the previous term.
origin of arithmetic sequence
It is an arithmetic sequence for which the index goes on and on (and on).
In the arithmetic sequence formula, the letter ( n ) typically represents the term number in the sequence. For example, in the formula for the ( n )-th term, ( a_n = a_1 + (n - 1)d ), ( a_n ) is the value of the ( n )-th term, ( a_1 ) is the first term, and ( d ) is the common difference. Essentially, ( n ) helps identify the position of a specific term within the sequence.
It appears to be -6