Answer:
4, 8, 16, 32, 64
Step-by-step explanation:
The nth term of a geometric sequence is
= a₁
Given
a₇ = 256 and a₁₀ = 2048 , then
a₁ 
= 256 → (1)
a₁ 
= 2048 → (2)
Divide (2) by (1)
= 
r³ = 8 ( take the cube root of both sides )
r = ![\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D)
= 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
The rule is "whatever the input is, multiply it by 5, then subtract 2"
For example, if the input is 4 then 4*5 = 20 and 20-2 = 18
So in short, the input 4 leads to the output 18 as shown in the top row of the diagram.
The answer is the box on the bottom row, right hand side where it says "x 5" and "-2" in the two bubbles.
C=8/3 xy
Downloaded Photomath. That app is the best. Shows you how to get the answer along with the answer so you can learn how to do it for test.
I'm pretty sure its B. (9x2+2x-7)(x)+(9x2+2x-7)(-4)
Because its just splitting up the (x-4) and if you add the answers together then you get the same answer as the original<span />
