Answer :
The number directly to the left of $83$ is 15.$ by using spiral sequence.
To determine the number that will appear directly to the left of $83$ in the spiral sequence, we need to analyze the pattern of the spiral. Let's observe the spiral sequence:
37 36 35 34 33 32
38 17 16 15 14 31
39 18 5 4 13 30
40 19 6 1 12 29
41 20 7 8 11 28
42 21 22 23 24 27
43 44 45 46 47 48
From this observation, we can notice that each layer of the spiral represents a square of odd numbers. The bottom-right number of each square is the square of an odd number, while the other numbers on that layer are generated by decrementing the square of that odd number by decreasing multiples of 2.
To find the number directly to the left of $83,$ we need to identify the layer that contains $83.$ By observing the pattern, we can see that $83$ lies on the fourth layer.
The bottom-right number of the fourth layer is $49,$ which is the square of $7.$
To find the number directly to the left of $83,$ we need to subtract the difference between the bottom-right number of the fourth layer and $83$ from the bottom-right number.
The difference is $83 - 49 = 34.$ Therefore, the number directly to the left of $83$ is $49 - 34 = 15.$
Learn more about spiral sequence from the given link
https://brainly.com/question/28203239
#SPJ11
