5+−
1
5
3
5+−
1
5=two fifths
2
5 (Type an integer or a fraction.)
Answer:
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Step-by-step explanation:
B.f[n]= 4+3n
C. f[n]= 4[3]^n-1
D.f[n]=7[3]^n-1
The correct option is D) f(n) = 4 + 3n.
Step-by-step explanation:
Given :
Arithmetic Sequence -- 7,10,13,16,19
Solution :
The explicit formula of arithmetic sequence is given by,
------- (1)
where, common difference (d) = 10 - 7 = 3
first term (a) = 7
So from equation (1),
Therefore, the correct option is D) f(n) = 4 + 3n.
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Answer:
Option B is correct
For , the function for the given sequence is defined as;
Step-by-step explanation:
An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.
An explicit formula for this arithmetic sequence given by;
where a represents first term
Since, the given sequences; 7 , 10 , 13 , 16 and 19
⇒ common difference(d) = 3 and a = 7
Since.
10 -7 = 3
13- 10 = 3 ....
The function which defined this sequence is;
using distributive property:
therefore, the function for the given sequence for all integers is;
Answer:
Jacob finished the race faster than Daniel.
Step-by-step explanation:
We have that,
Daniel completed the hurdle in of a minute i.e. 75% of a minute.
Jacob completed the hurdle with remaining of a minute i.e. 41.7% remaining of a minute.
Now, as we have that,
75% of a minute = 45 seconds
41.7% of a minute = 25 seconds
Since, Jacob had time remaining.
Thus, Jacob had = 60 - 25 = 35 seconds remaining.
So, Daniel ran in 45 seconds and Jacob ran in 35 seconds.
Hence, we get that, Jacob finished the race faster than Daniel.
Jacob
Given:
At a track meet, Jacob and Daniel compete in 220 m hurdles.
Daniels finishes in of the a min.
Jacob finishes with of a min remaining.
Question:
Who ran the race in faster time?
The Process:
Let us see the denominators. The least common multiple (LCM) of 4 and 12 is 12.
Let us draw the diagram that represents a minute.
12 units represent in one minute.
Daniels finishes in of the a min.
or 9 of 12 units.
Jacob finishes with of a min remaining, or 5 of 12 units. This means Jacob finishes in
or 7 of 12 units, that is
And now we conclude who ran the race in a faster time.
Daniels:
Jacobs:
Because Jacob took the race in a shorter time, he was who ran the race in a faster time.
- - - - - - - - - -
Quick Steps
Daniels: in of the a min.
Jacob: in of the a min.
Jacob's time is shorter, so he's the fastest.
- - - - - - - - - -
Calculate the speed
Recall
Daniels:
Jacob:
Thus, Jacob's speed proved greater than Daniels's speed.
Keywords: at a track meet, Jacob and Daniel, compete in 220 m hurdles, Daniels, finishes, in 3/4 of the a min, Jacob, finishes, with 5/12 of a min, remaining, who, ran, the race, in faster time, diagram