The answer to the question is 1.5
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)
9514 1404 393
Answer:
$13,916.24
Step-by-step explanation:
First, we need to find the value of the CD at maturity.
A = P(1 +rt) . . . . simple interest rate r for t years
A = $2500(1 +0.085·3) = $2500×1.255 = $3137.50
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Now, we can find the value of the account with compound interest.
A = P(1 +r)^t . . . . . rate r compounded annually for t years
A = $3137.50 × 1.18^9 = $13,916.24
The mutual fund was worth $13,916.24 after 9 years.
Hey! Sorry for the 6 day late response. The answer is:
25%