Answer:
4, 8, 16, 32, 64
Step-by-step explanation:
The nth term of a geometric sequence is
= a₁![(r)^{n-1}](https://tex.z-dn.net/?f=%28r%29%5E%7Bn-1%7D)
Given
a₇ = 256 and a₁₀ = 2048 , then
a₁
= 256 → (1)
a₁
= 2048 → (2)
Divide (2) by (1)
= ![\frac{2048}{256}](https://tex.z-dn.net/?f=%5Cfrac%7B2048%7D%7B256%7D)
r³ = 8 ( take the cube root of both sides )
r =
= 2
Substitute r = 2 into (1)
a₁ ×
= 256
a₁ × 64 = 256 ( divide both sides by 64 )
a₁ = 4
Then
a₁ = 4
a₂ = 2a₁ = 2 × 4 = 8
a₃ = 2a₂ = 2 × 8 = 16
a₄ = 2a₃ = 2 × 16 = 32
a₅ = 2a₄ = 2 × 32 = 64
Answer:
Step-by-step explanation:
(-4,8) & ( -4,2)
![Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{-4-4}{2},\dfrac{8+2}{2}\right)\\\\\\=\left(\dfrac{-8}{2},\dfrac{10}{2} \right)](https://tex.z-dn.net/?f=Midpoint%3D%5Cleft%28%5Cdfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%7D%7B2%7D%2C%5Cdfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D%20%5Cright%29%5C%5C%5C%5C%5C%5C%3D%5Cleft%28%5Cdfrac%7B-4-4%7D%7B2%7D%2C%5Cdfrac%7B8%2B2%7D%7B2%7D%5Cright%29%5C%5C%5C%5C%5C%5C%3D%5Cleft%28%5Cdfrac%7B-8%7D%7B2%7D%2C%5Cdfrac%7B10%7D%7B2%7D%20%5Cright%29)
= (-4,5)
Answer:
150,000, 130,000
Step-by-step explanation:
well, 4 or below go down 5 and above go up so go from there