Question

if -5/7 , a , 2 , are three consecutive terms of an AP,THEN a is __​

Answer 1

Answer:

a = 9/14

Step-by-step explanation:

t₁ = -5/7 ; t₂ = a ; t₃ = 2 (given)

as t₂ = a => t₁ = a-d = -5/7  ---------- (1)  

              &  t₃ = a+d = 2    ---------- (2)   , where 'd' is the common difference

adding (1) & (2)

=> a-d+a-d = (-5/7) + 2

=> 2a = (-5+14)/7

=> a = 9/(7*2)

=> a = 9/14