I Type the next number in this sequence 2 4 11 23 40 62 89

I. Type the next number in this sequence :

2,    4,    11,    23,    40,    62,    89,__

What number comes after 89?

II. Which is the best type of graph to show the number of votes for each

student running for class president?

Answer choices:

Double Bar Graph, Line Graph, Bar Graph, Circle Graph

Solution

(1) The sequence is given as: 2,    4,    11,    23,    40,    62,    89, ___
We are to find the number after 89.
Notice the differences between the numbers first.
4 - 2 = 2
11 - 4 = 7
23 - 11 = 12
40 - 23 = 17
62 - 40 = 22
89 - 62 = 27
The differences are increasing by 5.
Hence, the difference between the next number in the sequence and 89 has to be 32.
Hence, the next number in th sequence is = 89 + 32 = 121.

(2) We are given data on the number of votes received by each of the students running for class president.
The Bar Graph is the best graph to show this data. This graph makes it easy for us to compare the number of votes received by the students running for class president.