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The first three terms of an arithmetic sequence are as follows. -22,-15,-8 Find the next two terms of this sequence. -22, -15, -8, square , square

Pergunta

The first three terms of an arithmetic sequence are as follows.
-22,-15,-8
Find the next two terms of this sequence.
-22, -15, -8, square , square

The first three terms of an arithmetic sequence are as follows. -22,-15,-8 Find the next two terms of this sequence. -22, -15, -8, square , square

Solução

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JoanaMestre · Tutor por 5 anos

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To find the next two terms of the arithmetic sequence, we need to determine the common difference between consecutive terms.

Given the first three terms of the sequence: -22, -15, -8

Step 1: Find the common difference.
The common difference can be found by subtracting any term from the term that follows it.
-15 - (-22) = 7
-8 - (-15) = 7

So, the common difference is 7.

Step 2: Find the next two terms.
To find the next term, we add the common difference to the last term.
-8 + 7 = -1
-1 + 7 = 6

Therefore, the next two terms of the sequence are -1 and 6.

The complete sequence is: -22, -15, -8, -1, 6
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