The explicit formula is a mathematical formula that calculates the nth term in a sequence. It is written in terms of "n," which represents the term number. The explicit formula for an arithmetic sequence is given by "a_n = a + (n - 1)d," where "a" is the first term and "d" is the common difference between terms
. This formula allows for the computation of any term in the sequence without needing to know the previous terms
. Similarly, explicit formulas exist for geometric and harmonic sequences as well
. In general, the explicit formula is used to represent any term of a sequence without needing to write out the other terms
