The arithmetic sequence (a_i)
is defined by the formula:
a_i = A + D(i - 1)
What is a_{N}
, the ordinalThrough20(N) term in the sequence?
From the given formula, we can see that the first term of the sequence is A
and the common difference is D
.
The second term is simply the first term plus the common difference.
Therefore, the second term is equal to a_2 = A + D = A + D
.
To find a_{N}
, we can simply substitute i = N
into the given formula.
Therefore, the ordinalThrough20(N) term is equal to a_{N} = A + D (N - 1) = A + D * (N - 1)
.
a_1 = A
a_i = a_{i-1} + D
From the given formula, we can see that the first term of the sequence is A
and the common difference is D
.
The second term is simply the first term plus the common difference.
Therefore, the second term is equal to a_2 = a_1 + D = A + D = A + D
.
To find the ordinalThrough20(N) term, we can rewrite the given recurrence as an explicit formula.
The general form for an arithmetic sequence is a_i = a_1 + d(i - 1)
. In this case, we have a_i = A + D(i - 1)
.
To find a_{N}
, we can simply substitute i = N
into the our formula.
Therefore, the ordinalThrough20(N) term is equal to a_{N} = A + D (N - 1) = A + D * (N - 1)
.