Let's examine the sequence:
1/2, 1, 3/2
Looking at the sequence, we can see that each term is obtained by adding 1/2 to the previous term. We can express this pattern as follows:
Term n = Term (n-1) + 1/2
Using this pattern, we can calculate the 10° term of the sequence by iterating the formula. Starting with the given terms:
Term 1 = 1/2
Term 2 = 1
Term 3 = 3/2
We can continue this pattern:
Term 4 = Term 3 + 1/2 = 3/2 + 1/2 = 2
Term 5 = Term 4 + 1/2 = 2 + 1/2 = 5/2
Term 6 = Term 5 + 1/2 = 5/2 + 1/2 = 3
Term 7 = Term 6 + 1/2 = 3 + 1/2 = 7/2
Term 8 = Term 7 + 1/2 = 7/2 + 1/2 = 4
Term 9 = Term 8 + 1/2 = 4 + 1/2 = 9/2
Term 10 = Term 9 + 1/2 = 9/2 + 1/2 = 5
So, the 10° term of the sequence is 5.
Therefore, the 10° terms of the sequence 1/2, 1, 3/2 are as follows:
1/2, 1, 3/2, 2, 5/2, 3, 7/2, 4, 9/2, 5