3. What are the 4 harmonic means between 5/31 and 5/106
pasagot po with solve and advanced thank you
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ANSWER: 5/46, 5/61, 5/76, 5/91
Step-by-step explanation:
Given: a1 = 5/31 a6 = 5/106
Find the difference
formula: an = a1 + (n-1)d
a6 = 31 + ( 6 - 1 ) d
a6 = 31 + ( 6 - 1 ) d
a6 = 31 + 5d
106 = 31 + 5d
106-31 = 31-31 +5d
106-31 = 5d
75 = 5d
75/5 = 5d/5
15 = d
a2= 31+15= 46
a3= 46+15= 61
a4= 61+15= 76
a5= 76+15= 91
to justify the answer, distribute the common difference.
formula: an = a1 + ( n-1 ) d
a5= 31 + ( 5-1) 15
a5= 31 + (4) 15
a5= 31 + 60
a5= 91
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