Answer:
an = 2·2^(n-1)
Step-by-step explanation:
There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.
The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...
4/2 = 2
8/4 = 2
16/8 = 2
These ratios are all the same (they are "common"), so the sequence is geometric.
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Filling in the values for this sequence, we find the general term to be ...
an = 2·2^(n-1)
Answer:
C
Step-by-step explanation:
Now we have improved on that. We have got the biggest marble-cutting establishment on earth within a hundred yards of that grave. We have got a half-dozen woolen mills right around it, and iron mines, and iron furnaces, and iron factories. We are coming to meet you. We are going to take a noble revenge, as my friend, Mr. Carnegie, said last night, by invading every inch of your territory with iron, as you invaded ours twenty-nine years ago.
In triangle ABC, BC = 29 units.
Given,
In Δ ABC, ∠A = 45°.
A perpendicular line segment traced from a triangle's vertex to its opposite side is said to be the triangle's altitude.
Let altitude meet AB on D.
So, AD = 20 units and DB = 21 units and ∠ADC = ∠BDC = 90°
In ΔADC,
tan A = DC/AD
tan 45° = DC/20
1 = DC/20
DC = 20 units
In ΔBDC,
BC² = BD² + DC² (Pythagorean Theorem)
= 21² + 20²
= 441 + 400
= 841
BC = √841
= 29
Hence, BC = 29 units.
To learn more about triangle here
brainly.com/question/2272632
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Step-by-step explanation:
P(rain and flight delayed) = P(rain) x P(flight delayed) = 0.07 x 0.19
= 0.013 (nearest thousandth)
Answer:
<h2>
61.27cm^2</h2>
Step-by-step explanation:
The tuna can has a shape of a cylinder, and the area of the tuna lablel is the lateral surface area of the can
Data
diameter d= 6.5cm
radius r = 
= 
height h= 3cm
leteral surface area
