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If a sequence starts with 2 and each term is multiplied by 3, what is the 4th te

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Question: If a sequence starts with 2 and each term is multiplied by 3, what is the 4th term?

Options:

  1. 18
  2. 54
  3. 162
  4. 486

Correct Answer: 162

Solution: 

The sequence is 2, 6, 18, 54; the 4th term is 54.

If a sequence starts with 2 and each term is multiplied by 3, what is the 4th te

Practice Questions

Q1
If a sequence starts with 2 and each term is multiplied by 3, what is the 4th term?
  1. 18
  2. 54
  3. 162
  4. 486

Questions & Step-by-Step Solutions

If a sequence starts with 2 and each term is multiplied by 3, what is the 4th term?
Correct Answer: 54
  • Step 1: Start with the first term of the sequence, which is 2.
  • Step 2: Multiply the first term (2) by 3 to get the second term: 2 * 3 = 6.
  • Step 3: Multiply the second term (6) by 3 to get the third term: 6 * 3 = 18.
  • Step 4: Multiply the third term (18) by 3 to get the fourth term: 18 * 3 = 54.
  • Geometric Sequence – A sequence where each term is found by multiplying the previous term by a constant factor.
  • Exponential Growth – Understanding how terms grow rapidly in a geometric sequence due to constant multiplication.
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