Answer :

Answer:

aritmetic increases by the same number

Step-by-step explanation:

aritmetic increases by the same number

geometric has 1 number that each term is multiplied by to get the next term

4 to 9 is 5

9 to 13 is 4

not same difference

9/4=13/9?

81/36=52/36?

no

Answer:

The type of sequence. 4,9,13,22 is neither arithmetic nor geometric

Explanation:

For arithmetic progression:

Formula used  = a +(n-1)d

Where d is the difference of numbers in the sequence =[tex]a_n - a_n_-_1[/tex]

Hence,

=[tex]a_2 - a_1[/tex]

= 9-4 = 5

= [tex]a_3 - a_2[/tex]

= 13 – 9 = 4

Since  the common difference is not same

Hence it is not arithmetic  

For geometric progression:

Formula used = [tex]ar^n^-^1[/tex]

Where r is the common ratio of terms= [tex]\frac{T_n}{T_n_-_1}[/tex]

=[tex]\frac{T_2}{T_1}[/tex]

= 9/4

Similarly,

= [tex]\frac{T_3}{T_2}[/tex]

=13/9

Since the common ratio is not same  

Hence it is not a geometric  

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