Question

If 2x,3x+1,5xis an Arithmetic sequence.Then,what is the value

Answer 1

Heya !!!





AP = 2X , 3X +1 ,5X



First term (T1) = 2X


Second term (T2) = 3X+1



And,



Third term (T3) = 5X




Common Difference (D) = T2 -T1 = 3X +1 - 2X = X +1




Also,




Common Difference (D) = T3 - T2 = ( 5X ) - ( 3X +1) = 5X - 3X - 1 = 2X -1




As we know that,



Common Difference of an AP is always equal.




So,



T2 - T1 = T3 - T2



X + 1 = 2X -1




2X - X = 1 + 1




X = 2




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