John goodman weighs 250 pounds, so he decides to go on a diet. at the end of the first week, he weighs 240. then at the end of the second week, he weighs 230. fill in the blanks of the arithmetic formula [ a(n) = d + a1(n – 1) ] for this scenario. a(n) = + (n – 1 )

Answer

nth term of an AP of first term 250 and common difference -10 can be written as,

A(n) = 250 + (n-1)(-10)

Explanation

This is an example of Arithmetic progression(AP). Le a be the first term, d be the common difference, then nth term is given by

A(n) = a + (n-1)d  

Step 1

John Goodman weighs 250 pounds, so he decides to go on a diet.  

So we can write 'a' = 250

Step 2

At the end of the first week, he weighs 240.

Then at the end of the second week, he weighs 230.  

Fro this we get,  d = 40 -250 = -10 = 230 - 240

Step 3

Therefore using formula A(n) = a + (n-1)d  

A(n) = 250 + (n-1)(-10)

good luck on your studies! : )

david edward.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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