Here is a pattern of dots.
1 answer:
The dots in the patterns are illustrations of a sequence or progression
- The number of dots in step 10 is 84
- The number of dots in step n is (n -1)^2+ 3
From the pattern, we have:
- Step 0 = 3 dots
- Step 1 = 4 dots
- Step 2 = 7 dots
- Step 3 = 12 dots
So, we have the following pattern
When n = 10, we have:
T10 = 84
This means that, there will be 84 dots in step 10 and there will be (n -1)^2+ 3 dots in step n
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Answer:
Step-by-step explanation:
From AAA, both triangles in this figure are similar. Therefore, we can set up the following proportion:
or
.
Cross-multiplying, we get:
.
Explanation:
This can be explained by thinking numbers on the number line as:
Lets take we have to multiply a positive number (say, 2) with a negative number say (-3)
<u>2×(-3)</u>
Suppose someone is standing at 0 on the number line and to go to cover -3 , the person moves 3 units in the left hand side. Since, we have to compute for 2×(-3), The person has to cover the same distance twice. At last, he will be standing at -6, which is a negative number.
A image is shown below to represent the same.
<u>Thus, a positive times a negative is a negative number.</u>
