1. -10+(-2)(-2)(-2)/(-3) = 6
2. Find the next two numbers in the pattern. -96,48,-24,12,... My answer 6,3
#1 no question
#2 is almost right. What about the alternating +/- signs?
My answer in # 1 is 6
2. -6, +3
-10+(-2)(-2)(-2)/(-3)
= -10+(4)(-2)/(-3)
= -10+(-8)/(-3)
= -10+(8/3)
= -22/3
1. To solve this expression, let's break it down step by step:
Step 1: Start with the given expression: -10 + (-2)(-2)(-2)/(-3)
Step 2: Compute the exponent first: (-2)(-2)(-2) = (-2)^3 = -8
Step 3: Now rewrite the expression with the computed value: -10 + (-8)/(-3)
Step 4: Divide -8 by -3: -8/(-3) = 8/3
Step 5: Rewrite the expression with the computed value: -10 + 8/3
Step 6: Find a common denominator: -10 = -10/1, 8/3 = (8/3) * (3/3) = 24/3
Step 7: Add the fractions: -10/1 + 24/3 = -10/1 + 24/3 = (-10*3 + 24)/3 = (-30 + 24)/3 = -6/3 = -2
Therefore, the expression -10 + (-2)(-2)(-2)/(-3) is equal to -2.
2. To find the next two numbers in the given pattern, let's examine the differences between the consecutive terms:
The difference between -96 and 48 is 48 - (-96) = 144.
The difference between 48 and -24 is -24 - 48 = -72.
The difference between -24 and 12 is 12 - (-24) = 36.
From the differences, we can observe that they are decreasing by a factor of 2: 144, -72, 36. This suggests that the next difference could be -72 / 2 = -36.
Now, let's find the next term by adding the last difference to the last term:
12 + (-36) = -24.
And finally, let's find the term after that by adding the same difference:
-24 + (-36) = -60.
So, the next two numbers in the pattern after -96, 48, -24, 12 are -24 and -60.