Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is
where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:
comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.
Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Answer:
40 teabags for 0.96 (this is the most british question I've ever saw)
Step-by-step explanation:
1.62 / 60 = 0.027 (price per teabag)
0.96 / 40= 0.024 (price per teabag)
40 teabags for 0.96 is the better deal
Answer: $4.50
Step-by-step explanation: If it is 50% off then you take the price of $2.25 and double it. So 2 times $2.25 which is $4.50.
Let's solve your inequality step-by-step.
<span><span><span>10x</span>+18</span><<span>−2
</span></span>Step 1: Subtract 18 from both sides.
<span><span><span><span>10x</span>+18</span>−18</span><<span><span>−2</span>−18
</span></span><span><span>10x</span><<span>−20
</span></span>Step 2: Divide both sides by 10.
<span><span><span>10x/</span>10</span><<span><span>−20/</span>10
</span></span><span>x<<span>−2
</span></span>Answer:
<span>x<<span>−<span>2</span></span></span>
The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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