What is the explicit formula for this sequence? −7, −4, −1, 2, 5, …
1 answer:
The explicit formula for the sequence is 3n -10
<h3>What is an Arithmetic Sequence ?</h3>An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
= -7 +3n -3
= 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
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From the given data sets we shall obtain the answers as follows:
<span>301 345 305 394 328 317 361 325 310 362
Re-arrange the data in ascending order:
301, 305, 310, 317,325, 328, 345, 361, 362, 394
from the above we see that:
Minimum value=301
Q1=310
median=(325+328)/2=326.5
Q3=361
Maximum value=394
Thus the box plot will be as follows:
</span>
<span>301 345 305 394 328 317 361 325 310 362
Re-arrange the data in ascending order:
301, 305, 310, 317,325, 328, 345, 361, 362, 394
from the above we see that:
Minimum value=301
Q1=310
median=(325+328)/2=326.5
Q3=361
Maximum value=394
Thus the box plot will be as follows:
</span>