Find the First Term and the Common Ratio for the Geometric

question 73

Multiple Choice

Find the first term and the common ratio for the geometric sequence. Round approximations to the nearest hundredth.
- $$a _ { 2 } = 4.5 , a _ { 7 } = 34.17$$

• A) \(\mathrm { a } _ { 1 } = 3 , \mathrm { r } = 0.67\)
• B) \(\mathrm { a } _ { 1 } = 34.17 , \mathrm { r } = 0.67\)
• C) \(\mathrm { a } _ { 1 } = 4.5 , \mathrm { r } = 1.5\)
• D) \(a _ { 1 } = 3 , r = 1.5\)

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Definitions:

Scatterplot

A type of plot or graphical representation showing the relationship between two variables by displaying data points on a two-dimensional axis.

y-Intercept Regression Coefficient

In linear regression, it is the value of the response variable when all predictor variables are zero, representing the point at which the regression line crosses the y-axis.

Independent Variable

The variable in an experiment or model that is manipulated or changed to observe its effect on a dependent variable.

Coefficient of Determination

This statistic measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s).