50,60,72 find the 8th term airthmetic and geometric sequence

1 answer:

4 0

Answer:

8th term is 179.15904

Step-by-step explanation:

The sequence is geometric with a common ration = 6/5

r = 60/50 = 72/60 = 6/5

Use the formula

$a_{n} = ar^{n - 1}$

In your case a = 50, r = 6/5 and n = 8

$a_{8} = 50(6/5)^{8 - 1} \\ = 50(6/5)^{7} \\ = 50(279936/78125)\\ = 179.15904$

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meriva

Answer:

Step-by-step explanation:

<u>Answer to your questions:</u>

First of all, both A and B are correct and both quotients are terminating decimals.

To find out if the decimal is terminating or not, multiply the quotient by divisor. If you get exactly the same number as dividend, then it is terminating otherwise it is non-terminating.

The fraction may have greater numerator than denominator, in this case the quotient will be greater than one.
Now regarding simplification. You would be asked to give an answer rounded to some extend. One decimal place, two decimal places, 3 significant numbers etc. For the first operation you would get 34.8 (rounded to nearest tenth).
Or you may be asked to have a best estimated result. In this case you would round the initial numbers and find results. 205/714 ≈ 0.29

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3 years ago

diamong [38]

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180° so we can write

$y + 2y + 3y = 180° \Rightarrow 6y = 180°$