Given that the 11th term of an arithmetic progression is 43 and the first term is 3 find;

The common difference

1 answer

To find the common difference, we can use the formula for the n-th term of an arithmetic progression:

An = A1 + (n-1)d

Given that the 11th term (An) is 43 and the first term (A1) is 3, we can plug these values into the formula:

43 = 3 + (11-1)d

Simplifying, we have:

43 = 3 + 10d

Subtracting 3 from both sides, we have:

40 = 10d

Dividing both sides by 10, we find:

d = 4

So, the common difference of the arithmetic progression is 4.