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The third term of a sequence is 48.The term-to-term rule is: 'Subtract 2then multiply by 3.What is the first term of the sequence?

User Pievis
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To determine the first term of the sequence, one must reverse the given operations on the third term (48). By dividing by 3 and then adding 2, and repeating this process, the first term is found to be 8.

To find the first term of the sequence where the third term is 48 and the term-to-term rule is to 'Subtract 2 then multiply by 3', we need to reverse the operations. Starting with the third term, we would divide by 3 and then add 2 to find the previous term. This process is repeated to find the first term.

Let's reverse the operations:

  1. Divide the third term (48) by 3: 48 / 3 = 16.
  2. Add 2 to the result: 16 + 2 = 18.
  3. Now we apply the reverse steps to find the first term:
  4. Divide the second term (18) by 3: 18 / 3 = 6.
  5. Add 2 to the result: 6 + 2 = 8.

Therefore, the first term of the sequence is 8.

User AbdullahC
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