Answer:
Geometric Sequence
Step-by-step explanation:
1. Check the difference.
The difference between the 1st and 2nd term
The difference between the 2nd and 3rd term
The difference is not the same. Therefore, it is not an arithmetic sequence.
2. Check the ratio
The ratio between the 1st and 2nd term
The ratio between the 2nd and 3rd term
The ratio is the same. Therefore, it is a geometric sequence.
the value of c that makes the expression a perfect square binomial is c=4 .
<u>Step-by-step explanation:</u>
Here we have , an expression x2 + 4x + c or , . We need to find the value of c that makes the expression a perfect square binomial. Let's find out:
We have ,
⇒
⇒
Now , we know that
Comparing above equation , to we get ;
⇒ {
}
⇒
⇒
Therefore , the value of c that makes the expression a perfect square binomial is c=4 .