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rodikova [14]
3 years ago
13

45 POINTS--A pattern of shaded and unshaded squares is shown below:

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:1) 2n - 1

              2) 99

see in the picture, u can see that the number of  shaded in figures 1 through n will form an evenly spaced sequence with:

u(1) = 1

u(2) = 3

u(3) = 5

u(4) = 7

u(5) = 9

......

=>  The above sequence has: u1 = 1

                                                 d = 2

=> u(n) = 1 + 2(n - 1) = 2n - 1

=> the number of shaded squares in the n figure is 2n - 1

b) the number of shaded squares in the 50th figure is 2.50 - 1 = 99

Step-by-step explanation:

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