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:
a) The number of shaded squares in the n figure is 2n - 1.
b) The number of shaded squares in the 50th figure is 99.
A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
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
2.50 - 1 = 99
Learn more about a number pattern:
brainly.com/question/14471389
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