Question

Which answer describes the type of sequence?

3, 4, 7, 11,
• geometric
•
arithmetic
neither arithmetic nor geometric

Answer 1

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!