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TiliK225 [7]
3 years ago
5

An arithmetic sequence is given below.

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0
Given that a_1=24 and a_2=17, if a_n is an arithmetic sequence, then the common difference between successive terms is d=a_2-a_1=17-24=-7.

You then have

a_2=a_1+d
\implies a_3=a_2+d=a_1+2d
\implies a_4=a_3+d=a_1+3d
\implies \cdots\implies a_n=a_{n-1}+d=\cdots=a_1+(n-1)d

So the explicit formula for the nth term is

a_n=24-7(n-1)
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Josslyn has nickels and dimes in her pocket. The number of nickels is three more than seven times the number of dimes let d repr
vfiekz [6]
7d+3Explanation

to solve this we need to translate into math terms, so

Step 1

a) let d represents the number of dimes

let n represents the number of nickles

so

re write the expressions

\begin{gathered} number\text{ of dimes=d} \\ seven\text{ times the number of dimes = 7d} \\  \end{gathered}

The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles

hence

n=7d+3

therefore , the expression for the number of nickles is

7d+3

I hope this helps you

3 0
1 year ago
Find the slope of a line that passes through points (-1,-5) and (6,9).
Nana76 [90]

Answer:

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5 0
3 years ago
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A pole-vaulter uses a 15-foot-long pile. She grips the pole so that the segment below her left hand is twice the length of the s
Shalnov [3]
Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand

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2x must be then 4.5*2 = 9 foot
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Checking
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Adding length below left hand & length of left hand to right hand:
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Answer:

x ≥ $40

Step-by-step explanation:

Jackie didn't spend more than $40 on a video.

x ≥ $40

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