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neonofarm [45]
3 years ago
5

If the 5th term in a geometric sequence is 162, and the common ratio is 3. What is the first term in the sequence?

Mathematics
1 answer:
Lana71 [14]3 years ago
3 0

Answer:

2

Step-by-step explanation:

a2 = a1×3

a3 = a2×3 = a1×3×3

=>

an = an-1 × 3 =

a1 \times  {3}^{n - 1}

a5 = 162 = a1×3⁴ = a1×81

a1 = 162/81 = 2

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Pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
anastassius [24]

Answer:

13510 ft

Step-by-step explanation:

I have attached a triangle diagram to depict this situation.

From the diagram, we see that distance between A and B is denoted by x.

Now, from trigonometric ratios in this type of triangle, let's first find y.

6400/y = tan 36

y = 6400/tan 36

y = 8808.84 ft

Now, we can find x from;

6400/(8808.84 + x) = tan 16

6400/tan 16 = 8808.84 + x

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

5 0
3 years ago
Helpsssssssssssssss!!!!!!!!!!!!!!!!!!!!
serious [3.7K]

Answer:

the common differnence is positive 3

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
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Marrrta [24]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Find the measure of angle x in the figure below: (1 point) Two triangles are shown such that one triangle is inverted and share
Elena L [17]
75°+75°=150°
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5 0
3 years ago
5
Svetradugi [14.3K]

Answer:

The right answer is:

Option OB: f(1) = -9

Common difference: 7

Step-by-step explanation:

Given sequence is:

-9, -2, 5, 12,...

Here the first number is f(1)

Common Difference:

Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.

In the given sequence,

f(1) = -9

f(2) = -2

f(3) = 5

d=f(2)-f(1) = -2-(-9) = -2+9 = 7\\d = f(3)-f(2) = 5-(-2) = 5+2 = 7

Hence,

The right answer is:

Option OB: f(1) = -9

Common difference: 7

7 0
2 years ago
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