Question

In a certain AP, 2 times the 4th term is equal to 3 times the 7th term. Find the value of 13th term.​

Answer 1

Answer:

hope it is helpful to you ok

Answer 2

SOLUTION

GIVEN

In a certain AP, 2 times the 4th term is equal to 3 times the 7th term.

TO DETERMINE

The value of 13th term

FORMULA TO BE IMPLEMENTED

The ${n}^{th}$term of an Arithmetic progression is

$= a \: + (n - 1)d$

Where First term = a

Common Difference = d

EVALUATION

Let first term = a and common difference = d

4 th term = a + 3d

7 th term = a + 6d

13 th term = a + 12d

So by the given condition

$\sf{2(a + 3d) = 3(a + 6d)}$

$\sf{ \implies \: 2a + 6d = 3a + 18d}$

$\sf{ \implies \: - a - 12d = 0}$

$\sf{ \implies \: a + 12d = 0}$

$\sf{ \implies \: 13 \: th \: \: term= 0}$

FINAL ANSWER

The value of 13th term = 0

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. If the middle term of a finite AP with 7 terms is 21 find the sum of all terms of the AP

https://brainly.in/question/30198388

2. find the 100th term of an AP whose nth term is 3n+1

https://brainly.in/question/22293445

3. 2,7,12,17,..sum of 12 terms of this A. P. is

https://brainly.in/question/24134044