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What is the constant ratio between consecutive terms in the following sequences: g) 7 1/2; 8; 8 1/2; 9; ... h) 3.05 mm; 3.1 mm; 3.15 mm; 3.2 mm; ...?
Mathematics
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.1
2. What is the constant ratio between the consecutive terms?
- g) ; 8; ; 9; ...
Calculate the ratio between consecutive terms.
$\frac{8}{7.5} = \frac{16}{15}$ $\frac{8.5}{8} = \frac{17}{16}$Compare the ratios.
Since $\frac{16}{15} \neq \frac{17}{16}$, there is no constant ratio. This is an arithmetic sequence with a constant difference of 0.5. There is $\boxed{\text{no constant ratio}}$.- h) 3,05 mm; 3,1 mm; 3,15 mm; 3,2 mm; ...
Calculate the ratio between consecutive terms.
$\frac{3.1}{3.05} \approx 1.01639$ $\frac{3.15}{3.1} \approx 1.01613$Compare the ratios.
Since $1.01639 \neq 1.01613$, there is no constant ratio. This is an arithmetic sequence with a constant
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