Find the general term of an arithmetic sequence where the twelfth term is 22 and the common difference is d=-6

To find the general term of an arithmetic sequence, we can use the formula: nth term = a + (n - 1) * d Where: - nth term is the term we want to find, - a is the first term of the sequence, - n is the position of the term we want, - d is the common difference between consecutive terms. In this case, we know that the twelfth term is 22 and the common difference is d = -6. Let's substitute these values into the formula and solve for the first term a: 12th term = a + (12 - 1) * (-6) = 22 Simplifying the equation: a - 66 = 22 a = 22 + 66 = 88 Now we have found the first term a = 88. Therefore, the general term of the arithmetic sequence with a twelfth term of 22 and a common difference of -6 is: nth term = 88 + (n - 1) * (-6)