Q. 35.0( 1 Vote )

# In a certain A.P

Given: T 24 = 2T 10

To prove: T 72 = 2T 34

We know that,

T n = a + (n – 1)d

Therefore, T 24 = a + 23d and T 10 = a + 9d
T 72 = a + 71d
T 34 = a + 33d

Now,

T 24 = 2T 10
a + 23d = 2(a + 9d)
a + 23d = 2a + 18d

2a – a + 18d – 23d = 0
a – 5d = 0
a = 5d                                          (1)

Now let us assume, T 72 = 2T 34
a + 71d = 2(a + 33d)
a + 71d = 2a + 66d
a – 5d = 0
a = 5d                                          (2)
(2) = (1) our assumption is true
Hence proved.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Arithmetic Progression- Don't miss these Questions56 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Draw the graph ofNCERT - Mathematics