Question

13th term of the geometric sequence 1, 2, 4

Answer 1

• The 13th term of the geometric sequence is 4096

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First, find the common ratio:

• r = 2/1 = 4/2 = 2

Next, use the formula for the nth term of a geometric sequence:

• aₙ = a₁ * rⁿ⁻¹ where a₁ is the first term and r is the common ratio

Plugging in the values we have:

• a₁₃ = 1 * 2¹³⁻¹ = 1 * 2¹² = 4096