Find an equation for the nth term of the arithmetic sequence. a18 = 97, a20 = 281
1 answer:
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Answer:
3 a : 2 b = 6 : 1
Step-by-step explanation:
<em> =
</em>
<em>3 ( a + b) = 5 ( a - b) </em>
<em>3 a + 3 b = 5 a - 5 b </em>
<em>5 b + 3 b = 5 a - 3 a </em>
<em> 8 b = 2 a </em>
<em> 2 a = 8 b</em>
<em><u>a = 4 b</u></em>
<em>3 a = 3 × 4 b</em>
<em><u>3 a = 12 b</u></em>
<em>3 a: 2 b = 12 b : 2 b</em>
<em>3 a : 2 b = 6 : 1</em>