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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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Murljashka [212]
3x^2-192=0
3x^2=192
x^2=\frac{192}{3}
x=\pm \sqrt{64}
x=\pm 8

x=-8 and x=8 are the solutions

5 0
3 years ago
Read 2 more answers
3x^2+20x+12<br> pls show work ;-;
RoseWind [281]

Answer:

3 {x}^{2}  + 20x + 12 \\ 3 {x}^{2}  + 18x + 2x + 12 \\ 3x(x + 6) + 2(x + 6) \\( 3x + 2)(x + 6)

5 0
3 years ago
Solve 2x-3&lt; 2<br>please answer it fast ​
murzikaleks [220]

Answer:

x<5/2

Step-by-step explanation:

We have

2x−3<2

Add 3 to both sides.

2x−3 +3 <2 +3

which makes

2x<5

Divide both sides by 2.

2x/2 < 5/2

x<5/2

4 0
3 years ago
Which reason is the correct answer
Furkat [3]
Answer:
D. Reflexive Property


Explanation:
In order to prove that segment AB is congruent to segment ED, you need to first prove that triangle ACB is congruent to triangle ECD.
Reflexive property is not used as a reason to prove since no angles or segments are shared.

Hope this helps!!
Please give me brainliest if it is correct :)
5 0
3 years ago
I really need the answers please help asap
DanielleElmas [232]

Step-by-step explanation:

In a straight line theres 180 degrees and where x is you can tell its an X lines the opposites will be the same.

First you need to work out the triangles 180-122=58 and a triangle is 180 degrees so

58+40=98 180-98=82°

now working out the other triangle.

180-82=98, 43+98=141

180-141=39

and because the opposites will end up the same x=39°

4 0
3 years ago
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