# Newton-Gregory Forward Interpolation Formula based MCQ

This post provides the Numerical Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Newton-Gregory Forward Interpolation Formula”, feel free to share and comment in case any doubt.

### MCQs based on Newton-Gregory Forward Interpolation Formula:

1. Newton-Gregory Forward interpolation formula can be used _____________
a) only for equally spaced intervals
b) only for unequally spaced intervals
c) for both equally and unequally spaced intervals
d) for unequally intervals

2. Find n for the following data if f(0.2) is asked.

 x 0 1 2 3 4 5 6 f(x) 176 185 194 203 212 220 229

a) 0.4
b) 0.2
c) 1
d) 0.1

3. Find n for the following data if f(1.8) is asked.

 x 0 0.5 1 1.5 2 f(x) 0.3989 0.3521 0.242 0.1295 0.054

a) 2.4
b) 3.4
c) 2.6
d) 3.6

4. Find the polynomial for the following data.

a) (frac{3x^2-22x+36}{8} )
b) 3x2-22x+36
c) (frac{3x^2+22x+36}{2} )
d) (frac{3x^2-19x+36}{8} )

5. Using Newton-Gregory Forward formula, find sin(0.1604) from the following table

 x 0.16 0.161 0.162 f(x) 0.159318 0.160305 0.161292

a) 0.169713084
b) 0.159713084
c) 0.158713084
d) 0.168713084

6. Find f(5) using Newton-Gregory Forward Interpolation formula from the following table.

 x 0 2 4 6 8 f(x) 4 26 58 112 466

a) 71.109375
b) 61.103975
c) 70.103957
d) 71.103957

7. Find f(0.18) from the following table using Newton-Gregory Forward Interpolation formula

 x 0 0.1 0.2 0.3 0.4 f(x) 1 1.052 1.2214 1.3499 1.4918

a) 1.18878784
b) 1.8878784
c) 1.9878785
d) 0.8878784

8. Find f(2.75) using Newton’s Forward interpolation formula from the following table.

 x 1.5 2 2.5 3 3.5 4 y 3.375 7 13.625 24 38.875 59

a) 1.8296875
b) 18.296875
c) 22.296875
d) 24.296875

9. Find n if x0 = 0.75825, x = 0.759 and h = 0.00005.
a) 1.5
b) 15
c) 2.5
d) 25

10. Find x if x0 = 0.6, n = 2.6 and h = 0.2.
a) 12
b) 1.2
c) 1.12
d) 1.22

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