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The normal growth pattern for children aged 3-11 follows an arithmetic sequence. Given a child measures 98.2 cm at age 3, and 109.8 cm at age 5, what is the common difference of the arithmetic sequence? What would the child’s height at age 8 be?
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Question & Answer: The normal growth pattern for children aged 3-11 follows an arithmetic sequence. Given a child measures 9…..
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The arithmatic sequence Increases as follows ,
a,a+d,a+2d….
so let us consider that a=98.2 for n=1
a+d is for n=2 is unknown
a+2d for n=3 is 109.8
hence a+2d-a=109.8-98.2
=>2d=109.8-98.2=11.6
=>d=5.8 which is the common difference
a+d = 104 age=4
a+2d = 105.8 age =5
a+3d =115.6
a+4d=121.4
a+5d=127.2 when age =8 the heigth of the child is 127.2 cm
