Find a Pattern from the First 3 Equations of the Following

question 46

Multiple Choice

Find a pattern from the first 3 equations of the following sequence of equations and predict the 11th equation. ​ 1³ + 2³ = 3² 1³ + 2³ + 3² = 6² 1³ + 2³ + 3³ + 4³ = 10 ²

• A) 1 ³ + 2 ³ + 3 ³ + 4 ³ +...+ 12 ³ = 78 ²
• B) 1 ³ + 2 ³ + 3 ³ + 4 ³ +...+ 12 ³ = 91 ²
• C) 1 ³ + 2 ³ + 3 ³ + 4 ³ +...+ 11 ³ = 66 ²
• D) 1 ³ + 2 ³ + 3 ³ + 4 ³ +...+ 11 ³ = 22 ²
• E) 1 ³ + 2 ³ + 3 ³ + 4 ³ +...+ 12 ³ = 66 ²

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Definitions:

Selection Process

The method by which individuals are screened and chosen for roles or tasks.

Samples

A subset of individuals or observations drawn from a population, used to make inferences or hypotheses about the population as a whole.

Population Variances

A measure of the spread or distribution of a set of data points in a population, indicating how much the values differ from the mean.

Estimate

An approximation or informed guess of a quantity or value when the exact number is unknown or uncertain.