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12. Missing terms in interpolation table example ( Enter your problem )
  1. Formula & Example-1 (Missing 1 term)
  2. Example-2 (Missing 2 term)
  3. Example-3 (Missing 2 term)
  4. Example-4 (Missing 1 term)

1. Formula & Example-1 (Missing 1 term)





Examples
1. Find Missing terms in interpolation table
xf(x)
245
349.2
454.1
5?
667.4


Solution:
The value of table for `x` and `y`

x23456
y4549.254.1?67.4

Here we are given 4 values of y. We assume that y is polynomial of degree 3.
Hence `Delta^4 y_0=0`

`(E-1)^4 y_0=0`

`(E^4-4E^3+6E^2-4E+1) y_0=0`

`y_4-4y_3+6y_2-4y_1+y_0=0`

`:.67.4-4(a)+6(54.1)-4(49.2)+45=0`

`:.-4a+240.2=0`

`:.-4a=-240.2`

`:.a=(-240.2)/(-4)`

`:.a=60.05`




This material is intended as a summary. Use your textbook for detail explanation.
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