what's the explicit formula for 8,15,27
To find the explicit formula for the given sequence of numbers: 8, 15, 27, we need to find the pattern or relationship between the terms.
Looking at the given sequence, we can observe that each term is obtained by raising a number to a power and then adding a constant value. Let's examine the sequence more closely:
8 = 2^3
15 = 3^2 + 6
27 = 3^3
From the above observations, we can deduce that the pattern involves raising the index of a number by a power and then adding a constant value. Therefore, the explicit formula for the given sequence can be written as:
nth term = n^k + c
In this formula, "n" represents the position of the term in the sequence, "k" is the power or exponent, and "c" is the constant value added.
However, in order to find the exact values of the exponent (k) and the constant (c) for this particular sequence, we need more terms or information. With only three terms, there could be multiple possible patterns that fit the given sequence.