Question

a+1‚3a‚4a+2 are in Ap find a

Answer 1

Hii !



First term ( a ) = a + 1


Second term ( a2 ) = 3a

And,

Third term ( a3 ) = 4a + 2



Common difference ( d ) = 3a - ( a + 1 )



=> 3a - a - 1 = 2a - 1


Also,

Common difference ( d ) = 4a + 2 - 3a = a + 2.



We know that,

Common difference of an AP is always equal.



So,


2a - 1 = a + 2



2a - a = 2 + 1

a = 3