Harmonic series

Insert four members between 5/3 and 5/11 to form a harmonic series (means).

Final Answer:

a2 =  1.087
a3 =  0.8065
a4 =  0.641
a5 =  0.5319

Step-by-step explanation:

a1​=5/3=35​=132​≐1.6667 a6​=5/11=115​≐0.4545  b1​=1/a1​=1/1.6667=53​=0.6 b6​=1/a6​=1/0.4545=511​=251​=2.2 d=(b6​−b1​)/(6−1)=(2.2−0.6)/(6−1)=258​=0.32  b2​=b1​+d=0.6+0.32=2523​=0.92  a2​=1/b2​=1/0.92=1.087
b3​=b2​+d=0.92+0.32=2531​=1256​=1.24 a3​=1/b3​=1/1.24=0.8065
b4​=b3​+d=1.24+0.32=2539​=12514​=1.56 a4​=1/b4​=1/1.56=0.641
b5​=b4​+d=1.56+0.32=2547​=12522​=1.88 a5​=1/b5​=1/1.88=0.5319

Try another example


Did you find an error or inaccuracy? Feel free to send us. Thank you!







Tips for related online calculators
Looking for calculator of harmonic mean?
Looking for a statistical calculator?

You need to know the following knowledge to solve this word math problem:

statisticsalgebraGrade of the word problem

Related math problems and questions: