A44 = 359 (7) 41

Trying to find the 44 in the sequence starting with 359

352

345

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