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adell [148]
3 years ago
13

Need help with geometric sequences 30 points

Mathematics
1 answer:
NeTakaya3 years ago
8 0

Answer:

a_{n} = 6(5)^{n-1}

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = 6 and r = 30 ÷ 6 = 5, thus

a_{n} = 6(5)^{n-1}

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A tepee has a circle floor with a diameter of 4 yards what’s the floors circumference
Firlakuza [10]

Answer:

12.57 yards

Step-by-step explanation:

The circumference of a circle is denoted by: C=\pi d, where d is the diameter.

Here, we are given the diameter, so d = 4.

Now, plug this into the equation:

C=\pi d

C=\pi *4 ≈ 12.57

The circumference is about 12.57 yards.

Hope this helps!

6 0
3 years ago
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4 2/5 + 3 1/10 + 2 3/5
ElenaW [278]

Answer:

10 1/10

Step-by-step explanation:

22/5 + 31/10 + 13/5

44/10 + 31/10 + 26/10

101/10

10 1/10

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2 years ago
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If two cubes have edges of 1 and 2 , what is the sum of their volume???
Ivan
Volume of a cube: V = s^3, where s is the length of the edge.

So, the sum of them will be 1^3 + 2^3 = 9
7 0
3 years ago
Which fraction is equivalent to negative 1 over 6?
kow [346]
The last option :1 over negative 6 is equivalent to negative one over six
6 0
4 years ago
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Given equation x = 6 + i, w = -1 + 5i and z = 4 - 8i, determine each of the following in the form of a + bi
Temka [501]

Answer:

i) 28 - 30i

ii) 36 + 28i

Step-by-step explanation:

i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i

z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i

2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i

ii) w = -1 + 5i and z = 4 - 8i

w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40i^{2}⇒collect like terms

w × z = -4 + 28i - 40i^{2}

∵ i^{2}=-1

∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i

3 0
3 years ago
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