Question

In AP 3rd term is 5,7th term is 9,Find the 10th term?

Answer 1

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$\mathbf{here}$

▪️Third term of an AP = 5

▪️a+2d = 5

▪️a = 5-2d.....(1)

▪️Again,

▪️Seventh term of an AP = 9

▪️a+6d = 9.......(2)

▪️Putting the value of A in equation (2)

▪️a+6d = 9

▪️5-2d +6d = 9

▪️4d = 9-5

▪️4d = 4

▪️D = 4/4

▪️d = 1.

▪️Putting the value of D In equation (1)

▪️a = 5-2d

▪️a = 5-2 × 1 = 5-2 = 3

▪️Therefore,

▪️First term of an AP = 3

▪️Second term = a+d = 3+1 = 4

▪️Third term = a+2d = 3 +2 × 1 = 3+2 = 5

▪️Four term = a+3d = 3 + 3 × 1 = 3+3 = 6

▪️AP = a , a+d , a+2d , a+3d.....

$\mathbf{hence \: the \: answer \: is}$

▪️=> 3 , 4 , 5 , 6......