Find the first 5 terms.
a sub 1 = 4 and a sub n = 0.5a (sub n - 1) + 1
1.5, 2, 2.5, 3, 3.5
To find the first 5 terms of the given sequence, we can use the recursive formula provided.
a sub 1 = 4 tells us the first term is 4.
Then, we can use the recursive formula a sub n = 0.5a sub (n - 1) + 1 to calculate the next terms.
Using this formula, we can find the second term:
a sub 2 = 0.5a sub (2 - 1) + 1 = 0.5a sub 1 + 1 = 0.5 * 4 + 1 = 2 + 1 = 3.
Using the same formula, we can find the third term:
a sub 3 = 0.5a sub (3 - 1) + 1 = 0.5a sub 2 + 1 = 0.5 * 3 + 1 = 1.5 + 1 = 2.5.
Similarly, we can find the fourth term:
a sub 4 = 0.5a sub (4 - 1) + 1 = 0.5a sub 3 + 1 = 0.5 * 2.5 + 1 = 1.25 + 1 = 2.25.
Finally, we can find the fifth term:
a sub 5 = 0.5a sub (5 - 1) + 1 = 0.5a sub 4 + 1 = 0.5 * 2.25 + 1 = 1.125 + 1 = 2.125.
Therefore, the first 5 terms of the sequence are: 4, 3, 2.5, 2.25, 2.125.