Question

What answer describes the type of sequence. 4,9,13,22

neither arithmetic nor geometric

geometric

arithmetic

Answer 1

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 2

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

Step-by-step explanation:

For arithmetic progression:

Formula used = a +(n-1)d

Where d is the difference of numbers in the sequence =
`a_n - a_n_-_1`

Hence,

=
`a_2 - a_1`

= 9-4 = 5

=
`a_3 - a_2`

= 13 – 9 = 4

Since the common difference is not same

Hence it is not arithmetic

For geometric progression:

Formula used =
`ar^n^-^1`

Where r is the common ratio of terms=
`(T_n)/(T_n_-_1)`

=
`(T_2)/(T_1)`

= 9/4

Similarly,

=
`(T_3)/(T_2)`

=13/9

Since the common ratio is not same

Hence it is not a geometric