Middle School

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Rick and Chad are playing a number pattern game. Rick wrote the pattern:

32.3, 34.5, 36.7, _, 41.1

What is the unknown number in the pattern Rick wrote?

A) 37.9
B) 38.8
C) 38.9
D) 39.9

Answer :

Answer:

Step-by-step explanation:

38.9

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Rewritten by : Barada

Find the rate of change between terms to see if it is linear, a higher order, or exponential sequence...

34.5-32.3=2.2, 36.7-34.5=2.2, (41.1-36.7)/2=2.2

So this is a linear sequence with a common difference, or constant velocity, of 2.2. The first term is 32.3 and the rate is 2.2 so the linear equation is:

y=32.3+2.2(x-1) or more neatly

y=2.2x+30.1 so the fourth term is:

y(4)=2.2(4)+30.1

y(4)=38.9