You use distributive property to distribute the numbers out.
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Answer:
1.C
2.A
Step-by-step explanation:
Answer:
25150
Step-by-step explanation:
First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it. (a geometric sequence would be a multiplication, not an addition)
So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.
To do this without spending hours writing them down, we can use this formula:
![S = \frac{n}{2} * (2a + (n - 1) * d)](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%20%2A%20%282a%20%2B%20%28n%20-%201%29%20%2A%20d%29)
If we plug in our values, we have:
![S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7B100%7D%7B2%7D%20%2A%20%282%20%2A%204%20%2B%20%28100%20-%201%29%20%2A%205%29%20%3D%2050%20%2A%20%288%20%2B%2099%20%2A%205%29)
S = 50 * (8 + 495) = 50 * 503 = 25150
The answer is false.
For a square pyramid, the volume is calculated by 1/3*B*h. The height should touch the tip and lie perpendicular to the base. Slant height is used for surface area, not volume.