Question

Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2. Both sequences are geometric. Sequence 2 is arithmetic and Sequence 1 is geometric. Sequence 1 is arithmetic and Sequence 2 is geometric. Both sequences are arithmetic.

Answer 1

Arithmetic sequence : this is a sequence where u add the same number to each term to find the next term
geometric sequence : this is a sequence where u multiply by the same number to find the next term

sequence 1: -10,20,-40,80
u are multiplying each term by -2 to find the next term...so this is geometric

sequence 2 : 15,-5,-25,-45
u are adding -20 to each term to get to the next term..so this is arithmetic

sequence 1 is geometric and sequence 2 is arithmetic