Answer:
Step-by-step explanation:
The given sequence is
64, 16, 4, 1
It is a geometric series because it has a common ratio .
First term is 64.
The explicit formula of a geometric series is
where, a is first term and r is common ratio.
Substitute a=64 and r=1/4 in the above function.
Therefore, the required explicit formula is .
The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs:
The hypotenuse is the side with the greatest length.
Check all options:
1. c=5, a=3, b=4:
true.
2. c=14, a=4, b=11:
false.
3. c=17, a=9, b=14:
false.
4. c=16, a=8, b=14:
false.
5. c=17, a=8, b=15:
true.
Answer: correct options are A and E.