Which expression is equivalent to third- 32^3/5
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
<u>Key skills needed: Explicit formula, Geometric sequence</u>
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
--> r means the constant (or common ratio) that is being multiplied.
--> means the first term
--> means the "nth" numbered term (so
is the 3rd term,
is the 10th term and so on).
--> is just the "n" in
minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> (Since we got -6 as the constant/common ratio).
--> (Since 7 is the 1st term)
This means that our formula would be -->
<em>Hope you understood and have a nice day!! :D</em>
Since we know that triangle inequality theorem states that sum of any two sides of a triangle must be greater than third side.
Now let us see if it is true for our given side lengths.
Now let us try with another pair.
We can see that sum of 5.6 and 4 is less than 10.6. Therefore, 10.6 cm, 5.6 cm and 4.0 cm can not be side lengths of a triangle.