) 4. Find the largest number of points which a foot ball team cannot get exactly using just 3-point field goalsand 7-point touchdowns. Prove your answer is correct by mathematical induction.s) 5. Prove, by mathematical induction, that Fo+F+F,+-+F, = F+2-1, where F, is the nth Fibonaccinumber (Fo = 0, F = 1 and F = F1+F-2).ts) 6. Prove that the sum of the interior angles of a convex n-gon is (n-2) 180°. (A convex n-gon is a polygonwith n sides for which each interior angle is less than 180°.) Hint: start with (k+1)-gon and divide itup into a k-gon and a triangle.

For our company rules I solve only first question. Please repost other parts.

Answered: 4. Find the largest number of points…

4. Find the largest number of points which a foot ball team cannot get exactly using just 3-point field goals and 7-point touchdowns. Prove your answer is correct by mathematical induction.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.4: Mathematical Induction

Problem 46E

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Question

) 4. Find the largest number of points which a foot ball team cannot get exactly using just 3-point field goals
and 7-point touchdowns. Prove your answer is correct by mathematical induction.
s) 5. Prove, by mathematical induction, that Fo+F+F,+-+F, = F+2-1, where F, is the nth Fibonacci
number (Fo = 0, F = 1 and F = F1+F-2).
ts) 6. Prove that the sum of the interior angles of a convex n-gon is (n-2) 180°. (A convex n-gon is a polygon
with n sides for which each interior angle is less than 180°.) Hint: start with (k+1)-gon and divide it
up into a k-gon and a triangle.

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