Civil Engineering > GATE 2022 SET-1 > Numerical Methods
onsider the following recursive iteration scheme for different values of variable P with the initial guess x1 = 1:
xn+1 = (1/2)(xn + (P / xn)), n = 1, 2, 3, 4, 5
For P = 2, x5 is obtained to be 1.414, rounded-off to three decimal places.
For P = 3, x5 is obtained to be 1.732, rounded-off to three decimal places.
If P = 10, the numerical value of x5 is _______. (round off to three decimal places)
xn+1 = (1/2)(xn + (P / xn)), n = 1, 2, 3, 4, 5
For P = 2, x5 is obtained to be 1.414, rounded-off to three decimal places.
For P = 3, x5 is obtained to be 1.732, rounded-off to three decimal places.
If P = 10, the numerical value of x5 is _______. (round off to three decimal places)
Correct : 3.162
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