One pattern on my worksheet has angles. The first is 90 degrees, 135 degrees, then 157.5 degrees. I don't really see any pattern. Could anyone help me with this? Thank you so much. :)
first you added 45º
then you added 22.5º
next one I would add 11.25º ?
Of course! Let's try to find the pattern in the given sequence of angles: 90 degrees, 135 degrees, and 157.5 degrees.
To analyze the pattern, we can look for any common differences or factors between the angles.
The first thing we can observe is that each angle is greater than 90 degrees. This gives us a clue that we might be dealing with a scaling factor or a multiplier.
Let's calculate the difference between each angle in the sequence:
135 degrees - 90 degrees = 45 degrees
157.5 degrees - 135 degrees = 22.5 degrees
Now, looking at these differences, we notice that the second difference is half of the first difference: 22.5 degrees is half of 45 degrees.
So it seems like we are multiplying each angle by a scaling factor of 1.5. To verify this, let's multiply the last angle in the sequence by 1.5:
157.5 degrees * 1.5 = 236.25 degrees
Based on this pattern, we can predict the next angle by multiplying the last angle (157.5 degrees) by 1.5.
157.5 degrees * 1.5 = 236.25 degrees
Therefore, the next angle in the sequence is approximately 236.25 degrees.
To summarize, the pattern in the given sequence is that each angle is obtained by multiplying the previous angle by 1.5.