I Type the next number in this sequence 2 7 14 23 34 What c

I. Type the next number in this sequence: 2,    7,    14,    23,    34, __

What comes after 34?

II. Which type of graph would you use to show the number of teachers in each school in a city?

Answer Choice:

Bar Graph, Double Bar Graph, Stem and Leaf Plot, Circle Graph

Solution

I)

given sequence 2,    7,    14,    23,    34, __

let next number be x

sequence representing difference of consecutive terms is 7-2,14-7,23-14,34-23,x-34..

=5,7,9,11,x-34,....

numbers represents the arithematic sequence with common difference 2

so , (x-34)-11= 2

=>x=34+11+2

=>x=47

so the next number in sequence: 2,    7,    14,    23,    34, __ is 47

47 comes after 34

II)

i use Bar Graph use to show the number of teachers in each school in a city