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shusha [124]
2 years ago
14

Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this

arithmetic sequence.
Mathematics
1 answer:
ollegr [7]2 years ago
8 0

Answer:

a_{n} = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

a_{n} = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

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