Hello and Good Morning/Afternoon!
To determine whether a sequence is arithmetic or geometric:
⇒ must consider their definitions
- Arithmetic Sequence: sequences that go up by adding or subtracting a number
- Geometric Sequences: sequences that go up by multiplying or dividing a number
Let's test out this sequence to see what kind of sequence it is:
- Testing for arithemetic sequence
3 ⇒ 4, 3 + 1
4 ⇒ 7, 4 + 3
7 ⇒ 11, 7 + 4
NOT AN ARITHMETIC SEQUENCE
- Testing for geometric sequence
3 ⇒ 4, 3 * (4/3)
4 ⇒ 7, 4 * (7/4)
7 ⇒ 11, 7 * (11/7)
NOT AN GEOMETRIC SEQUENCE
Answer: Neither arithetic nor geometric
Hopefully that helps!
