human
Use a linear sequence expressed as a pattern to make a prediction about another term in the sequence other than the next one Tom and Katie are discussing this sequence. ![The first 3 patterns in a sequence are shown. The first pattern is a blue rectangle with 6 yellow circles attached to its perimeter: 2 circles on each of the longer sides and 1 circle on each of the shorter sides. 
Pattern 2 is made up of 2 blue rectangles, attached together in a row by their short edges. There are also 10 yellow circles in this pattern, attached to the perimeter of the rectangles: 2 circles on every longer side of each rectangle and 1 circle on each of the two free shorter sides (i.e. that are not attached to the other rectangle). 
Pattern 3 is made up of 3 blue rectangles, attached together in a row by their short edges. There are also 14 yellow circles in this pattern, attached to the perimeter of the rectangles: 2 circles on every longer side of each rectangle and 1 circle on each of the two free shorter sides (i.e. that are not attached to another rectangle).]() Tom says the number of circles in the \( 10^{\text {th }} \) term will be 
double the number of circles in the \( 5^{\text {th }} \) term.

Katie says the number of rectangles in the \( 10^{\text {th }} \) term will be 
double the number of rectangles in the \( 5^{\text {th }} \) term.

Who do you agree with? Both Tom and Katie
gpt
Believes there is a multiplicative relationship between values of terms in a linear sequence e.g. 10th term is double 5th term