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What is the answer to: Find the nth term formula: 7,11,15,19...

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Answer:


a_(n) = 4n + 3

Explanation:

Note there is a common difference d between consecutive terms, that is

d = 11 - 7 = 15 - 11 = 19 - 15 = 4

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 = 7 and d = 4, thus


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

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