Welcome to The Aslam Way - Make Math Simple! Sequence: 7, 10, 13, 16 Pattern: +3. +3. +3 This means 3 times table or 3n 3n: 3, 6, 9, 12 Difference:+4 +4 +4 +4 So nth term = 3n + 4 Alternatively you can see there is a +3 jump so first part of nth term is 3n. Then take 3 away from first term (7-3) and get +4 so add to end of nth term Final answer: 3n + 4
3n + 4 Explained: 1. This sequence jumps up in 3's. 2. The three times table has a formula of '3n' 3. The terms in this sequence are four more than the terms in the three times table. 4. The answer would therefore be '3n+4'
First we might down the common difference between two times . Here the common difference between two terms is +3 so the nth term formula starts as 3n and then you ask yourself what do I need to do to jump from +3 to the first term in the sequence (which is 7). In this case, you need to + 4 so the final value is nth term= 3n + 4.