Question: 1. One approximation for 7 is using the perimeters of inscribing polygons in a circle of radius 0.5. Start with hexagons, and successively double the

1. One approximation for 7 is using the perimeters of inscribing polygons in a circle of radius 0.5. Start with hexagons, and successively double the number of sides. The recurrence formula for the perimeters of such polygons is Pn+1 = 6.2". In+1, where In+ = +1-1 - = = = 1,2,.... Observe that we can rewrite the expression above in the mathematically equivalent form In+1 = 12 +1+1 = n=1,2,... Write two MATLAB functions that calculate the first 26 approximations for 7 based on scheme (1) and (2) above. Compare the results. Which scheme is better? Explain why. 1. One approximation for 7 is using the perimeters of inscribing polygons in a circle of radius 0.5. Start with hexagons, and successively double the number of sides. The recurrence formula for the perimeters of such polygons is Pn+1 = 6.2". In+1, where In+ = +1-1 - = = = 1,2,.... Observe that we can rewrite the expression above in the mathematically equivalent form In+1 = 12 +1+1 = n=1,2,... Write two MATLAB functions that calculate the first 26 approximations for 7 based on scheme (1) and (2) above. Compare the results. Which scheme is better? Explain why
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