Given:
and
where
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
Where, d is the common difference.
We have,
Here, d=9.
The first term of the AP is .
The explicit formula for an AP is:
Substituting and
, we get
Therefore, the required explicit formula for the given sequence is .
Answer:
4.6 km
Step-by-step explanation:
-This is a Pythagorean Theorem problem where the distances walked are effectively the base and height of the imaginary right triangle thereof.
#Apply Pythagorean theorem to solve:
Hence, the distance x is 4.6 km
Answer:
13
Step-by-step explanation:
We need to write our answer in exponential form. Ask yourself the question, "What times itself 3 times will give you 2197?" Your answer is . This will go inside of your cube root. You now have
. Since there's a power of 3 and a cube root, those cancel each other out, and your answer is 13.