Question
In Execcises 1-6 write the next three terms of the arithmetic sequence. 1. 1,8,15,22,ldots 2. 20,14,8,2,ldots 3. 12,21,30,39,ldots 4. 5,12,19,26,ldots 5. 3,7,11,15,ldots 6. 2,14,26,38,ldots
Solution
4
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Vinícius
Mestre · Tutor por 5 anos
Resposta
1. To find the next three terms of the arithmetic sequence
, we need to determine the common difference between consecutive terms. The common difference is
. To find the next term, we add the common difference to the last term:
. To find the term after that, we add the common difference again:
. Therefore, the next three terms of the sequence are
. 2. To find the next three terms of the arithmetic sequence
, we need to determine the common difference between consecutive terms. The common difference is
. To find the next term, we add the common difference to the last term:
. To find the term after that, we add the common difference again:
. Therefore, the next three terms of the sequence are
. 3. To find the next three terms of the arithmetic sequence
, we need to determine the common difference between consecutive terms. The common difference is
. the next term, we add the common difference to the last term:
. To find the term after that, we add the common difference again:
. Therefore, the next three terms of the sequence are
. 4. To find the next three terms of the arithmetic sequence
, we need to determine the common difference between consecutive terms. The common difference is
. To find the next term, we add the common difference to the last term:
. To find the term after that, we add the common difference again:
33, 40, 47
3,7,11,15,\ldots
7 - 3 = 4
15 + 4 = 19
19 + 4 = 23
19, 23, 27
226,38,\ldots
14 - 2 = 12
38 + 12 = 50
50 + 12 = 62
50, 62, 74$.