Find an expression for the nth term of this sequence: 3 - 11 - 19 - 27 - 35 . The nth term of a different sequence is 2n^3 + 3. Write down the first 3 terms of this sequence.

First, the sequence is 3 - 11 - 19 - 27 - 35. Looking at it, we can observe that each element of the sequence is created by adding 8 to the previous. The first term is 3. The second term is 3 + 8 * 1 (Also 2-1). The third term is 3 + 8 * 2 (Also 3-1). From this we can figure out that the general formula for an element in this sequence is 3 + 8 * (n-1). This allows us to calculate the value of any element in the sequence, provided we know its position.
If the nth term of a sequence is 2n^3 + 3, then to figure out the first three elements we need to replace n with 1, 2 and 3 respectively.The first term is equal to 2 * 1^3 + 3 = 2 * 1 + 3 = 2 + 3 = 5The second term is equal to 2 * 2^3 + 3 = 2 * 8 + 3 = 16 + 3 = 19The third term is equal to 2 * 3^3 + 3 = 2 * 27 + 3 = 54 + 3 = 57