Hello and Good Morning/Afternoon!
<u>To determine whether a sequence is arithmetic or </u><u><em>geometric:</em></u>
⇒ 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
<u>Let's test out this sequence to see what kind of sequence it is</u>:
- Testing for arithemetic sequence
3 ⇒ 4, 3 + <u>1</u>
4 ⇒ 7, 4 + <u>3</u>
7 ⇒ 11, 7 + <u>4</u>
<u>NOT AN ARITHMETIC SEQUENCE</u>
<u />
- Testing for geometric sequence
3 ⇒ 4, 3 * (<u>4/3)</u>
4 ⇒ 7, 4 * (<u>7/4</u>)
7 ⇒ 11, 7 * (<u>11/7</u>)
<u>NOT AN GEOMETRIC SEQUENCE</u>
<u />
<u>Answer: Neither arithetic nor geometric</u>
<u></u>
Hopefully that helps!