1
22.
Insert 5 A.M's between 4 and 22
[ ]
4) 3, 5, 7, 9, 11
1) 2, 5, 8, 11, 14
2) 7, 10, 13, 16, 19
3) 1, 2, 3, 4, 5
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11th
Maths
Sequences and Series
Arithmetic Mean of AP
The sum of three A.M. betwe...
MATHS
The sum of three A.M. between 2,10 is :
MEDIUM
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ANSWER
Let , A
1
,A
2
,A
3
be the three A.M.'s between 2 and 10
such that 2,A
1
,A
2
,A
3
,10 are in A.P.
a
n
=1+(n−1)d
n=3+2=5,a=2
∴10=2+(5−1)d
∴4d=8
∴d=2
A
1
=a+d=2+2=4
A
2
=a+2d=2+4=6
A
3
=a+3d=2+6=8
∴ Sum of 4+6+8=18
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