Dear Math Central, My name is Stephanie. My grade 7 math class is studying number sequences and, to me, they make almost no sense at all. Here I wrote down 2 of the many problems I have for homework and was wondering if you could explain them to me (I have to find the next 3 numbers in each sequence.) It would be a big help! 10, 14, 18, 22, _, _, _. 12, 21, 39, 75, _, _, _. Thanx so much!Steph Hi Stephanie,
In these problems you have to look for patterns. You need to see how each term is generated from the previous terms. Sometimes the pattern is easy to spot. For example in
In your first sequence, if you find the differences they are 18  14 = 4 22  18 = 4. 26 + 4 = 30 30 + 4 = 34
In the second sequence the differences are 39  21 = 18 75  39 = 36. 147 + 144 = 291 291 + 288 = 579 Now try the rest of the problems. Penny
