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3 years ago

21. Find the nth term for the sequence 1, 5, 9, 13, ...

1 answer:

7 0

21.
an=a1+d(n-1)
a1=first term
an=nth term
d=common differnce
n=which term

firs term is 1
common differnce is 4 (1+4=5)
so

an=1+4(n-1)
or
an=1+4n-4
an=-3+4n

22.

solve for n such that
-3+4n=95
add 3 to both sides
4n=98
divide both sides by 4
n=24.5
we can't have a non-whole number for n because it names a number, we can't have the 24.5th number, we can have the 24th or 25th, but not the 24.5th

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Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day. If Mr.Mason drinks 118 ounces

denis-greek [22]

The total weight of Mason is 177

<em><u>Solution:</u></em>

Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day

Mr.Mason drinks 118 ounces each day

Let "x" be the total weight of Mr.Mason

Therefore, we can say,

Two third of body weight = Amount of gatorade drank in ounces per day

Two third of x = 118

$\frac{2}{3} \text{ of } = 118\\\\\frac{2}{3} \times x = 118\\\\2x = 118 \times 3\\\\2x = 354\\\\x = \frac{354}{2}\\\\x = 177$

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