Question: If four arithmetic means is inserted between 2 and 47, what is the third arithmetic means?
Solution:
a1=2 d=? (Unknown)
an=47 n=2
an=a1+(n-1)d
47=2+(2-1)d
47=2+1d
47-2=1d
45=1d
45/1=1d/1 (Divide both sides by 1)
a1=2 a3=? (Unknown)
d=45 n=3
a3=2+(3-1)(45)
a3=2+(2)(45)
a3=2+(90)
a1=2
a2=(2+45)=47
a4=(92+45)=137
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Question: If four arithmetic means is inserted between 2 and 47, what is the third arithmetic means?
Answer: a3=92
Solution:
#First, Find the Common difference (d)#
a1=2 d=? (Unknown)
an=47 n=2
an=a1+(n-1)d
47=2+(2-1)d
47=2+1d
47-2=1d
45=1d
45/1=1d/1 (Divide both sides by 1)
d=45
#Second, To find the 3th term of an arithmetic sequence#
a1=2 a3=? (Unknown)
d=45 n=3
an=a1+(n-1)d
a3=2+(3-1)(45)
a3=2+(2)(45)
a3=2+(90)
a3=92
#Last, Check first,
a1=2
a2=(2+45)=47
a3=(47+45)=92
a4=(92+45)=137
Conclusion: #The third arithmetic means between 2 and 47 is 92#
#LEARNING IS FUN
#LEARNING IS OUR POWER
#STUDY HARD
#CARRY-ON-LEARNING