Mathematics
Mathematics
Problem
Explain whether the sequence 10, 7, 4, 1, is an arithmetic progression. If it is, state its common difference.Intuitive explanation
This sequence is arithmetic if the gap between consecutive terms stays constant—that's the defining property. Calculate the difference between any two adjacent terms (like 7 − 10, or 4 − 7) and see if you get the same value each time. If you do, you've found the common difference ; if not, it's not arithmetic.
Intuitive explanation
This sequence is arithmetic if the gap between consecutive terms stays constant—that's the defining property. Calculate the difference between any two adjacent terms (like 7 − 10, or 4 − 7) and see if you get the same value each time. If you do, you've found the common difference ; if not, it's not arithmetic.