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a_1, a_2, 78, a_4, a_5, 3438, a_7, a_8,… OMAPA Paraguay 2023.1

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March 26, 2024
algebra

Problem Statement

In the following sequence of numbers, each term, starting with the third, is obtained by adding three times the previous term plus twice the previous term to the previous one: a1,a2,78,a4,a5,3438,a7,a8,…a_1, a_2, 78, a_4, a_5, 3438, a_7, a_8,… As seen in the sequence, the third term is 7878 and the sixth term is 34383438. What is the value of the term a7a_7?
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