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find the missing terms in each arithmetic sequence 3 12 21 ___with solution​

Sagot :

Step-by-step explanation:

To find the missing terms in the arithmetic sequence 3, 12, 21, ___, we need to identify the common difference between consecutive terms. In an arithmetic sequence, the common difference is the constant value added to each term to get the next term.

Given sequence: 3, 12, 21, ___

1. Find the Common Difference:

Common Difference (d) = 12 - 3 = 9

The common difference is 9.

2. Find the Missing Terms:

To find the missing terms, we need to add the common difference to the last known term (21) to get the next terms.

- The next term after 21:

21 + 9 = 30

Therefore, the missing term after 21 is 30.

Therefore, the missing terms in the arithmetic sequence 3, 12, 21, ___ are 30.