Question

The 3rd term of arthimatic is 34 ,6th term of arthimatic is 67, what is 25th term

Answer 1

Answer:

T₂₅ = 276

Step-by-step explanation:

T₃= 34   i.e.  a + 2d

T₆= 67   i.e.  a + 5d

T₂₅= ?

WE HAVE,        a + 2d = 34----------(1)

                        a + 5d = 67----------(2)

                             -3d = -33

                           ⇒ d = 11

T₃ =

⇒A + 2D = 34

⇒A + 22 = 34

⇒A=12

T₂₅ = A + 24D

T₂₅ = 12 + 264

T₂₅ = 276