Write the first five terms of the sequence defined by the recursive formula a_n=2 *(a_n-1)+5, with a_1=-3 .
-3,-10,-24,-43,-81
-3,-1,3,11,27
-3,2,7,12,17
-3,4,18,46,102
The correct first five terms of the sequence defined by the recursive formula a_n=2 *(a_n-1)+5, with a_1=-3, are:
-3, -1, 3, 11, 27.
show the steps
To find the first five terms of the sequence defined by the recursive formula a_n=2 *(a_n-1)+5, with a_1=-3, we can use the given formula to generate each term.
1. a_1 = -3
2. a_2 = 2 * (-3) + 5 = -6 + 5 = -1
3. a_3 = 2 * (-1) + 5 = -2 + 5 = 3
4. a_4 = 2 * (3) + 5 = 6 + 5 = 11
5. a_5 = 2 * (11) + 5 = 22 + 5 = 27
So, the first five terms are -3, -1, 3, 11, 27.