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rewona [7]
2 years ago
14

Generalize the pattern by finding the nth term.

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
6 0

Answer:

4n+2

Step-by-step explanation:

The common difference between the terms is 4 which means that the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

a_{n}=a_{0}+(n-1)d

where a_n is the nth term, a_0 is the first term and d is the common difference between them.

We know that

a_{0}=6\\d=4

Putting the value in general formula:

a_{n}=6+4(n-1)\\a_{n}=6+4n-4\\a_{n}=4n+6-4\\a_{n}=4n+2\\

So the generalized pattern is 4n+2 ..

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Step-by-step explanation:

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2 years ago
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lesantik [10]

Answer:

A. The solution set is x = 5 or -7

Step-by-step explanation:

\sqrt[4]{ {x}^{2} + 2x }  =  \sqrt[4]{35}  \\ {({x}^{2} + 2x) }^{ \frac{1}{4} }  =  {(35)}^{ \frac{1}{4} }  \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} }   =  {35}^{ \frac{1}{4} }  \\   {x}^{2}  + 2x = 35 \\  {x}^{2}  + 2x  -  35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5  \: or \:  - 7

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1 year ago
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Answer:

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Answer:

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