a.) insert two arithmetic means between 9 and 17 a= m1= m2= b= b.)insert three a

Question

a.) insert two arithmetic means between 9 and 17

a=
m1=
m2=
b=

b.)insert three arithmetic means between 9 and 17
a=
m1=
m2=
m3=
b=

s C wwwwebassign net/web/student/Assignment-Responses last? dep 15715174 Mysusu San Jose St EEwer Educational Pla Watch movies online A ALEKS Assessment The arithmetic mean (or average of two numbers a and bis CPR Login About 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, mat are equally spaced between a and a so that a, m1, m2. mk, b is an arithmetic sequence, then m m2, mk are called k arithmetic means between a and b. (a) Insert two arithmetic means between and 17. a 39 m1 13 m2 11 (b) Insert three arithmetic means between 9 and 17. uc) suppose a doctor needs to increase a patient's dosage of a certain medicine from 100 mg to 300 mg per day in five equal steps. How many arithmetic means mast be inserted between 100 and 300 to give the progression of daily doses? x arithmetic means what are these means? (Enter your answers as a comma-separated list

Explanation / Answer

a = 9

b =17

9 , 9 + d , 9 + 2d , 9 + 3d

so we know 9 + 3d = 17

3d = 17 - 9

3d = 8

d = 8/3

hence

first arithmentic mean is

9+8/3 = 35/3

2nd arithmetic mean is

9 + 2(8/3) = 9 + 16/3 = 43/3

b)

a = 9

a , a+d , a+2d , a+3d , a+4d

a + 4d = 17

9 + 4d = 17

4d = 8

d = 2

hence , first arithmetic mean = a + d = 9 + 2 = 11

2nd = a+2d = 9 +4 = 13

3rd = a+3d = 9+6 = 15

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