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svet-max [94.6K]
2 years ago
8

22, 66, 198, ... Find the 8th term.

Mathematics
2 answers:
Elanso [62]2 years ago
7 0

Answer:

The 8th term will be 48114.

Step-by-step explanation:

This series is an geometric series.

The formula for the nth term in an geometric series is ar^{n-1}, where a is the first term, r is the ratio (how much each term is multiplied by and n is the term you want to find.

In this question, the 8th term will be 22\times3^7 = 48114

o-na [289]2 years ago
6 0
8th term=48114
Nth term = 22/3 x 3^n
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Answer:

PO=86.2\\ OM=23.8\\

Step-by-step explanation:

To preface, your figure is going to be a line segment, with O as your midpoint, in between points P & M.

With that being said:

PO+OM=PM

Identify your values:

PO=7y+12\\OM=3y-8\\PM=110

Substitute the values into the first equation:

7y+12+3y-8=110

Combine like terms:

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Subtract 4 from both sides of the equation:

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Divide by the coefficient of y, which is 10:

y=10.6

Substitute 10.6 for y in segments PO & OM:

PO=7(10.6)+12

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PO=74.2+12

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Solve:

PO=86.2

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Check your answers by substituting:

PO+OM=PM

86.2+23.8=110

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