Question

Asap please

Identify the sequence as arithmetic, geometric, both, or neither.

2, 5, 10, 17, 26, . . .


geometric

neither

arithmetic

both

Answer 1

Neither

Explanation:

we are given

sequence as

2 , 5, 10 , 17 , 26

we will check arithmetic and geometric

Arithmetic:

we know that common difference must be same for arithmetic

first term =2

second term =5

third term =10

`d_1=5-2=3`

`d_2=10-5=5`

we can see that common differences are different

so, it is not arithmetic

Geometric:

we know that common ratio must be same for geometric

first term =2

second term =5

third term =10

`r_1=(5)/(2)`

`r_2=(10)/(5)=2`

So, we can see that common ratios are different

so, this can not be geometric

So,

Neither is answer