Answer:
a₁ = -5, d = 7, a₂ = 2, a₃ = 9, a₄ = 16
equation of sequence:
Step-by-step explanation:
a₁ + a₂ + a₃ = 6
a₁ + a₁ + d + a₁ + 2d = 6
3a₁ + 3d = 6
a₁ + d= 2 ⇒ a₁ = 2 - d
a₄ = 16
a₁ + 3d = 16
2 - r + 3d = 16
2d = 14
d = 7
a₁ = 2-7 = -5
a₁ = -5, d = 7 ⇒ a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16
equation of arithmetic sequence:
The maximum height and horizontal distance is required.
Maximum height 8 feet; horizontal distance 16 feet
The given path is
If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.
or
The distance between -5 and 11 is
Middle point would be from
.
So,
The maximum height will be
The maximum height is 8 feet and the horizontal distance is 16 feet.
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