Answer:
The 44th term of this decreasing sequence is 58
Explanation:
Let's recall that the formula for finding out any term in an arithmetic sequence is:
aₙ = a₁ + (n - 1) * d, where n is the number of term we want to find out and d is the common difference between terms.
But in this case, the list is decreasing, so we have to replace the plus sign by a minus sign, this way:
aₙ = a₁ - (n - 1) * d
Replacing with the real values, we have:
a₄₄ = 359 - (44 - 1) * 7
a₄₄ = 359 - (43 * 7)
a₄₄ = 359 - 301 = 58
The 44th term of this decreasing sequence is 58