Final answer:
The 3rd term in the sequence is -10.300.
Step-by-step explanation:
The given sequence is defined recursively as follows:
b(1) = 0.500
b(n) = b(n-1) - 5.4
To find the 3rd term in the sequence, we substitute n=3 into the recursive formula:
b(3) = b(2) - 5.4
Now we need to find the value of b(2) by substituting n=2 into the formula:
b(2) = b(1) - 5.4
Substituting the given value of b(1) into the formula:
b(2) = 0.500 - 5.4
After evaluating the expression:
b(2) = -4.900
Now we can substitute the value of b(2) into the formula to find b(3):
b(3) = -4.900 - 5.4
After evaluating the expression:
b(3) = -10.300
Therefore, the 3rd term in the sequence is -10.300.