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Dima020 [189]
2 years ago
15

Which formula represents this sequence 2,8,14...?

Mathematics
1 answer:
Vikentia [17]2 years ago
5 0

Answer:

a_{n} = 6n - 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

8 - 2 = 14 - 8 = 6

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

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

Thus the formula representing the sequence is

a_{n} = 6n - 4

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