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 =
= 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:
y = 5.5x – 17
Step-by-step explanation:
Slope (m) = ΔY/ΔX=11/2 =5.5
When x=0, y = -17
3 if by the x axis 4 if by the y axis
<u>Hint </u><u>:</u><u>-</u>
- To find out the equation of the line we can use the point slope form of the line which is
<u>Solution</u><u> </u><u>:</u><u>-</u>
The given point to us is ,
and the slope of the line is 4 . On using the point slope form , we have ,
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> </u><u>is </u><u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>y </u><u>+</u><u> </u><u>3</u><u> </u><u>=</u><u> </u><u>0</u><u> </u>
( for graph , see attachment ) .