What is the formula of the successive difference method?

Is acceleration calculated by successive difference method?
a=(s6+s5+s4-s3-s2-s1)/(9T^2)
This is usually used. S1. S2. S3 S6 is 1.2.3 Displacement in 6 time intervals
But we must grasp the fundamental is △ s = at ^ 2. T is the time interval. Take 6 segments to ensure that the error is small

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1. Successive difference formula Using the puncher to make the paper tape, there are ABCDEFG... Points. Let the distances of ab.bc.cd.de.ef.fg... In the paper tape be s1.s2.s3.s4.s5.s6 respectively, The time interval corresponding to two adjacent points is t. the velocity of the object at point a is va. according to the uniform velocity linear motion formula and the velocity formula, it is proved that the displacement difference of the object passing through in the continuous and equal time interval is a constant, and satisfies s2-s1 = 3-s2 = s4-s3 =... = at ＾ 2; The proof process is as follows (hint: s1.s2 is calculated by displacement formula first) It's at ^ 2
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