Exercise 2H

1 Find the next three terms for these number patterns that have a common difference.

a i 5, 12, 19, , , b i 37, 32, 27, ___, ___, ___ ii 32, 41, 50, , , ii 91, 79, 67, ___, ___, ___ a 3, 8, 13, 18, , , c 26, 23, 20, 17, , , e 63, 54, 45, 36, , , g 101, 202, 303, 404, ___, ___, ___ a 2, 4, 8, 16, , , c 96, 48, 24, , , e 11, 22, 44, 88, , , g 256, 128, 64, 32, , , b 4, 14, 24, 34, , , d 106, 108, 110, 112, , , f 9, 8, 7, 6, , , h 75, 69, 63, 57, ___, ___, ___ b 5, 10, 20, 40, , , d 1215, 405, 135, , , f 7, 70, 700, 7000, , , h 1216, 608, 304, 152, , , a 62, 56, , 44, 38, , c 4, 8, 16, , , 128, e 88, 77, 66, , , , 22 g 14, 42, , , 126, , 182 a 3, 5, 8, 12, ___, ___, ___ c 1, 4, 9, 16, 25, ___, ___, ___ e 2, 3, 5, 7, 11, 13, , , g 2, 10, 3, 9, 4, 8, , , b 15, , 35, , , 65, 75 d 3, 6, , 12, , 18, f 2997, 999, , , 37 h 14, 42, , , 1134, , 10 206 b 1, 2, 4, 7, 11, ___, ___, ___ d 27, 27, 26, 24, 21, ___, ___, ___ f 2, 5, 11, 23, , , h 14, 100, 20, 80, 26, 60, , , a 1, 4, 9, 16, 25, 36, , , c 1, 8, 27, 64, 125, , , d 2, 3, 5, 7, 11, 13, 17, , , e 4, 6, 8, 9, 10, 12, 14 b 1, 1, 2, 3, 5, 8, 13, , ,

2 Find the next three terms for the following number patterns that have a common difference.

3 Find the next three terms for the following number patterns that have a common ratio.

4 Find the missing numbers in each of the following number patterns.

5 Write the next three terms in each of the following sequences.

6 Generate the next three terms for the following number sequences and give an appropriate name to the sequence.

7 Complete the next three terms for the following challenging number patterns.

___, ___,

8 When making human pyramids, there is one less person on each row above, and it is complete when there is a row of only one person on the top.