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rewona [7]
3 years ago
14

Generalize the pattern by finding the nth term.

Mathematics
1 answer:
Veseljchak [2.6K]3 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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