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ELEN [110]
3 years ago
6

3x+4y-x+12

Mathematics
1 answer:
notsponge [240]3 years ago
5 0

Answer:

there are 4 terms and x is the constant

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\large \boxed{2}

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The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

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\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}

Check:

\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}

It checks.

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