given the explicit formula: a4=9+2(n-1)
what is the common difference?
what is the initial term?
what term is the formula finding?
what value should replace n?
The explicit formula for a geometric sequence is typically given as an = a1 * r^(n-1).
1) In this case, the common difference is the value of r in the formula. However, the given formula seems to be for an arithmetic sequence, in which case the common difference is represented by the term (n-1). Therefore, the common difference is 2.
2) The initial term (a1) is not explicitly given in the formula.
3) The formula is finding the fourth term (a4) of the sequence.
4) The value that should replace n depends on which term of the sequence you want to find. In this case, since the formula is finding a4, the value of n should be 4.