Question

If 1-a , 3, 2a-1 are three consecutive terms of an AP what is the value of a​

Answer 1

Given : 1-a , 3, 2a-1 are three consecutive terms of an AP  

To Find :  the value of a​

Solution:

1-a , 3, 2a-1 are three consecutive terms of an AP  

=> (1 - a) + (2a - 1)  = 2 * 3

=> a  = 6

Value of a is 6

Three terms ate

-5  ,  3  , 11

Learn More:

In an A.P if sum of its first n terms is 3n square +5n and it's Kth term ...

brainly.in/question/8236011

Find the sum of frist 51 terms of the AP whose 2nd term is 2 and 4th ...

brainly.in/question/7655866

Answer 2

SOLUTION

GIVEN

1 - a , 3, 2a - 1 are three consecutive terms of an AP

TO DETERMINE

The value of a

EVALUATION

Here it is given that 1 - a , 3, 2a - 1 are three consecutive terms of an AP

So common difference is same

Second Term - First term = Third term - Second Term

$\implies \sf{3 - (1 - a) = (2a - 1) - 3}$

$\implies \sf{3 - 1 + a = 2a - 1 - 3}$

$\implies \sf{ a + 2= 2a - 4}$

$\implies \sf{ a = 6}$

FINAL ANSWER

Hence the required value of a = 6

━━━━━━━━━━━━━━━━

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