Answer:
a₁ = -5, d = 7, a₂ = 2, a₃ = 9, a₄ = 16
equation of sequence: ![\boxed{\bold{a_n=7n-12}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7Ba_n%3D7n-12%7D%7D)
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:
![a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}](https://tex.z-dn.net/?f=a_n%3Da_1%2Bd%28n-1%29%5C%5C%5C%5Ca_n%3D-5%2B7%28n-1%29%5C%5C%5C%5C%5Cunderline%7Ba_n%3D7n-12%7D)
Answer:
0.0475
Step-by-step explanation:
Given that :
Area To the left :
P(Z < 550) = 0.0475 ; that is proportion who scored better than of 550 has a Zscore of 0.0475.
Hence, percentage of students who scored better than she did will be 0.0475
130 divided by 2.5 or 130/2.5
Answer- 52 mph