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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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I will give brainliest to the first to answer
bonufazy [111]

Answer:

2/6 = 1/3

8/1 = 8

2/4 = 4/8

2/8 = 1/4

4/4 = 1

Step-by-step explanation:

2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3

for 8/1 it is the same as just 8

2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8

the same goes for 2/8 which is 1/4

and 4/4 is just 1  

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

5 0
2 years ago
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Which inequality is equivalent to 8 < 3x – 4(2x – 5)?
oksian1 [2.3K]

8<-5x+20 is one possible answer. it depends on how they are writing it. you need to do the distributed property.

5 0
3 years ago
Which of the following is equivalent to the complex number i^17
Anton [14]

Answer:

Step-by-step explanation:

It’s a repeating pattern.

i² = -1

i³ =(i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

...

i¹⁷ = i

4 0
2 years ago
. Ana tiene el triple de edad que su hijo Jaime. Dentro de 15 años, la edad de Ana será el doble que la de su hijo. ¿Cuántos año
poizon [28]

Answer:

La madre de Jaime tiene 30 años más que él.

Step-by-step explanation:

Llamemos x a la edad actual de Jaime, si la edad actual de Ana es el triple que la de Jaime, entonces la edad actual de Ana es 3x.

Dentro de 15 años, la edad de Jaime será x+15 (edad actual más 15 años) y usando el mismo razonamiento, la edad de Ana será 3x + 15.

Por otro lado el problema nos dice que dentro de 15 años, la edad de Ana (que ya sabemos que será 3x + 15) será igual al doble de la que tendrá su hijo en 15 años. Esto en forma de ecuación se representa:

3x+15=2(x+15) (la edad de Ana será igual que el doble de la de su hijo)

Resolviendo la ecuación:

3x+15= 2(x+15)\\3x+15=2x+30\\3x-2x=30-15\\x=15

Por lo tanto, Jaime tiene 15 años y su madre tiene 3x=3(15)=45 años. Por lo tanto la diferencia de edad es de 30 años y Ana tiene 30 años más que su Jaime.

3 0
3 years ago
4,8,9, 8, 5, 2 <br> find the median
Damm [24]

Answer:

The median is 8.5

Step-by-step explanation:

When you find the median of an even amount of number, you add the two middle numbers and divide by 2.

6 0
3 years ago
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