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What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?

User Darkman
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2 Answers

3 votes

Final answer:

The 11th term of the geometric sequence -3, -6, -12, -24, ... is calculated using the first term and the common ratio. By substituting into the geometric sequence formula, the 11th term is determined to be -3072.

Step-by-step explanation:

The value of the 11th term in the sequence -3, -6, -12, -24, ... can be determined by recognizing the pattern of the sequence. This is a geometric sequence where each term is multiplied by a common ratio to get the next term. In this case, the common ratio is 2 because each term is double the previous one.

  1. First term (a1) = -3
  2. Common ratio (r) = 2
  3. 11th term (an) = a1 × r(n-1) where n is the term number

Substituting the values we have:
an = -3 × 2(11-1)
an = -3 × 210
an = -3 × 1024
an = -3072

The value of the 11th term is therefore -3072.

User Pirmax
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6 votes

Answer:

a

Step-by-step explanation:

User Wolfert
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