What are the first three terms of the sequence defined by the following equation? a_n= 7 + (n - 1) 5 7, 2, -3 7, 12, 17 7, 35, 175 12, 17, 22

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asked Apr 7, 2024 80.5k views

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Naijaba · Answer 1 · 2024-04-11T20:38:50+0000

Answer:

7, 12, 17 which is the second choice

Explanation:

The given sequence is expressed by the equation

$a_n = 7 + (n - 1)5\\\\(n - 1)5 = 5n - 5\\\\a_n = 7 + (n - 1)5= 7 + 5n - 5\\\\= 2 + 5n\\\\a_n = 5 + 2n\\\\a_1 = 2 + 5(1) = 2 + 5 = 7\\\\a_2 = 2 + 5(2) = 2 + 10 = 12\\\\a_3 = 2 + 5(3) = 2 + 15 = 17\\\\$

So the first three terms are
7, 12, 17 which is the second choice

What are the first three terms of the sequence defined by the following equation? a_n= 7 + (n - 1) 5 7, 2, -3 7, 12, 17 7, 35, 175 12, 17, 22

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