Solved on Dec 10, 2023
Find the value of using the iterative formula with , rounded to 3 d.p.
STEP 1
Assumptions
1. The iterative formula is given by
2. The starting value is
3. We need to find the value of
4. Each iteration will use the previous value of to calculate the next one
STEP 2
Use the iterative formula to find using the starting value .
STEP 3
Substitute into the formula to calculate .
STEP 4
Calculate the value of .
STEP 5
Now use the iterative formula to find using the value of .
STEP 6
Substitute into the formula to calculate .
STEP 7
Calculate the value of .
STEP 8
Round the value of to three decimal places.
The value of , to three decimal places, is approximately 4.579.
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