If Three Geometric Means Are Inserted Between 1 And 256,Find The Third Geometric Mean.( Need A Solution)

If three geometric means are inserted between 1 and 256,find the third geometric mean.( need a solution)

 

Answer:

1, 4, 16, 64, 256.

a3 = 16

Step-by-step explanation:

We will use the geometric sequence formula which is: an = a1 x r^(n - 1)

First write all the given which are:

  • a1 = 1 (The first term)
  • an = 256 (The last term)
  • n = 5 (number of terms)

Now, lets substitute all the given.

  • an = a1 * r^(n - 1)
  • 256 = 1 * r^(5 - 1)

Simplify first the exponent.

  • 256 = 1 * r^4

You will not add the 1 to 256, because 1 is like the coefficient of r^4

So what will you do is divide both sides by 1.

  • 256 = r^4

Now get the root or both sides.

  • 4 = r

Now, lets check if it is correct. Multiply the next term with 4

  • a1 = 1
  • a2 = 4
  • a3 = 16
  • a4 = 64
  • a5 = 256

An yore finding the third mean of the geometric sequence. The third mean is a3 = 16


Comments

Post a Comment

Popular posts from this blog

Subjective Meaning In Spoliarium

Subjective meaning in spoliarium   Gladiator is the subject of the spoliarium painting. The picture recreates a despoiling scene in a Roman circus where dead gladiators are stripped of weapons and garments. At the center of the painting are fallen gladiators being dragged by Roman soldiers. On the left, spectators ardently await their chance to strip off the combatants of their metal helmets and other armory. In contrast with the charged emotions featured on the left, the right side meanwhile presents a somber mood. An old man carries a torch perhaps searching for his son while a woman weeps the death of her loved one. Meaning of Spoliarium Spoliarium is a Latin word referring to the basement of the Roman Colosseum where the fallen and dying gladiators are dumped and devoid of their worldly possessions. Who painted the spolarium? Spolarium is a painting done by Filipino painter Juan Luna in 1884. Juan Luna is a Filipino educated at the Academia de Dibujo y Pintura (P
Read more

Ang Pinaka Malalim Na Dako Sa Karagatan Ay Bahaging Nasa Dulo Ng Marianas

Ang pinaka malalim na dako sa karagatan ay bahaging nasa dulo ng marianas   Answer: Tinatawag na "Challenger Deep" ang pinakamalalim na bahagi ng karagatan. Explanation: Ang Challenger Deep ay ang pinakamalalim na bahagi ng karagatan sa Daigdig. Ito ay may kalalimang nagmumula sa 10,898 metro hanggang 10,916 metro. Ito ay matatagpuan sa Karagatang Pasipiko, sa katimugang bahagi ng Mariana Trench.
Read more