The sum of the third and the eleventh terms of the A.P is 30.A.The common diference
Yes
a+2d + a+10d = 30
2a+12d = 30
a+6d = 15
So, the value of d will depend on the value of the 1st term, a.
Thanks
To find the common difference of an arithmetic progression (A.P), we can use the formula for the nth term of an A.P, which is given by:
An = A + (n-1)d
Where:
- An is the nth term of the A.P
- A is the first term of the A.P
- n is the position of the term in the A.P (counting from 1)
- d is the common difference of the A.P
In this case, we know the sum of the third and eleventh terms of the A.P is 30.
So, we can write two equations using the formula for the nth term:
A3 + A11 = 30
A + 2d + A + 10d = 30
Simplifying the equation:
2A + 12d = 30
Now, we need more information to find the common difference (d). Either the value for A or the value for d itself is required.
Please provide additional information so we can calculate the common difference.