Use inductive reasoning to predict the next line in the pattern.
-$$\begin{array} { l }
( 5 \times 1 ) \times ( 2 \times 1 ) = 10 \
( 5 \times 10 ) \times ( 2 \times 2 ) = 200 \
( 5 \times 100 ) \times ( 2 \times 3 ) = 3000
\end{array}$$
A) (5 × 1000) × (2 × 4) = 35,000
B) (5 × 1000) × (2 × 4) = 45,000
C) (5 × 1000) × (2 × 4) = 4000
D) (5 × 1000) × (2 × 4) = 40,000

Question

Use inductive reasoning to predict the next line in the pattern.
-$$\begin{array} { l } 
( 5 \times 1 ) \times ( 2 \times 1 ) = 10 \
( 5 \times 10 ) \times ( 2 \times 2 ) = 200 \
( 5 \times 100 ) \times ( 2 \times 3 ) = 3000
\end{array}$$
A) (5 × 1000) × (2 × 4) = 35,000
B) (5 × 1000) × (2 × 4) = 45,000
C) (5 × 1000) × (2 × 4) = 4000
D) (5 × 1000) × (2 × 4) = 40,000

Quizplus · Accepted Answer

The pattern involves multiplying the first number by 10 each time (5, 50, 500) and increasing the multiplier of 2 by 1 each time (2, 4, 6). Thus, the next line should be $5 \times 1000$ for the first part and $2 \times 4$ for the second part, resulting in $5000 \times 8 = 40,000$.

Use Inductive Reasoning to Predict the Next Line in the Pattern