The arithmetic mean (or average) of two numbers a and b isa + bm =2Note that m is the same distance from a as from b, so a, m, b is an arithmetic sequence. In general, if m1, m2, ..., mk areequally spaced between a and b so thata, m1, m2,.., mki bis an arithmetic sequence, then m1, m2, ·.., mk are called k arithmetic means between a and b.(a) Insert two arithmetic means between 15 and 23.a =m1%Dm2 =b =(b) Insert three arithmetic means between 15 and 23.a =m1%3Dm2%Dm3%D(c) Suppose a doctor needs to increase a patient's dosage of a certain medicine from 100 mg to 450 mg per day in fiveequal steps. How many arithmetic means must be inserted between 100 and 450 to give the progression of daily doses?arithmetic meansWhat are these means? (Enter your answers as a comma-separated list.)I| ||

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Description: The arithmetic mean (or average) of two numbers a and b isa + bm =2Note that m is the same distance from a as from b, so a, m, b is an arithmetic sequence. In general, if m1, m2, ..., mk areequally spaced between a and b so thata, m1, m2,.., mki bis

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The arithmetic mean (or average) of two numbers a and b is a + b m = 2 Note that m is the same distance from a as from b, so a, m, b is an arithmetic sequence. In general, if m1, m2, ..., mk are equally spaced between a and b so that a, m1, m2, ..., mk, b is an arithmetic sequence, then m1, m2, .. ., mk are called k arithmetic means between a and b. (a) Insert two arithmetic means between 15 and 23. a = m1 = m2 = b = (b) Insert three arithmetic means between 15 and 23. a = m1 = m2 = m3 = b =