Given that the first term of the AP is 31 and the 28th term is -5, we need to find the common difference.
The formula to find the nth term of an arithmetic progression (AP) is:
an = a1 + (n-1)d
Where:
an = nth term
a1 = first term
d = common difference
In this case, we have:
a1 = 31
an = -5
n = 28
Plugging these values into the formula:
-5 = 31 + (28-1)d
-5 = 31 + 27d
-5 - 31 = 27d
-36 = 27d
Dividing both sides by 27:
-36/27 = 27d/27
-4/3 = d
So the common difference is -4/3.
The 28th term of an Ap is -5. Find its common difference if the first term is 31
1 answer