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7 votes
7 votes
Is this sequence arithmetic or geometric? And what is the equation? 301, 358, 415, 472…

User Jon Ryser
by
2.7k points

1 Answer

17 votes
17 votes

Answer:

a_n = 244 + 57n, for n ≥ 1

Explanation:

358 - 301 = 57

415 - 358 = 57

472 - 415 = 57

There is a constant difference, so the sequence is arithmetic.

a_1 = 301

a_2 = 358 = a_1 + 57

a_3 = 415 = a_1 + 57 × 2

a_4 = 472 = a_1 + 57 × 3

a_n = a_1 + 57 × (n - 1)

a_n = 301 + 57(n - 1)

a+n = 301 + 57n - 57

a_n = 244 + 57n, for n ≥ 1

User Nicholas Key
by
2.9k points
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