The eleventh term of an a.p is 25 and its first term is -3,find its common difference?
I need the answer
-3 + 10d = 25
-3+10d=25
To find the common difference of an arithmetic progression (AP), we can use the formula:
nth term = first term + (n - 1) * common difference
In this case, we are given the following information:
First term (a): -3
Eleventh term (t11): 25
Using the formula, we substitute the given values and solve for the common difference:
t11 = a + (11 - 1) * d
25 = -3 + 10d
Now, we can solve the equation to find the common difference.
25 = -3 + 10d
25 + 3 = 10d
28 = 10d
d = 28/10
d = 2.8
Therefore, the common difference (d) of the arithmetic progression is 2.8.