Question

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
​

Answer 1

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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