Find the exact value of the eighth term of the geometric sequence: 648,216,72,24

Mathematics

1 answer:

NikAS [45]2 years ago

7 0

8th term is 0.30

Step-by-step explanation:

Step 1: nth term of a GP = a × r^n-1

Step 2: Find r.

⇒ r = a2/a1 = 216/648 = 1/3

Step 3: Calculate 8th term. a = 648, r = 1/3 and n = 8

⇒ 8th term = 648 × (1/3)^8-1 = 648 × (1/3)^7 = 648/2187 = 0.30

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As a farmer, Felipe keeps a close eye on the weather. After a few stressful weeks with no rain, Felipe was relieved when it star

Sladkaya [172]

Answer:

The time it took until 2 inches of rain fell is 8 hours

Step-by-step explanation:

You know that the proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) it had fallen, y, is y = 0.25*x

To find the time that passed until 2 inches of rain fell, you must replace the amount of rain (in inches) that had fallen "and" by that value. In this way the following expression is obtained:

2= 0.25*x

Solving:

$\frac{2}{0.25}=x$