The 5 term of ap is 21 and its 10 term is 46.find the ap
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The 5th term is 21. ______(1)
i.e a+4d =21
the 10th term is 46
i.e a+9d=46__________( 2 )
solving equations ( 1 ) and ( 2 )
a+9d+46=a+4d+21
=a-a+9d-4d+46-21
= 5d=25
dividing both side 5
= d=5
substituting the value of d in ( 1 ) we get
a+4d=21
a+4×5=21
a+20=21
a = 21 -20
a=1
The required AP is,
1,6,11,16,21,26,31,36,41,46
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