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inessss [21]
3 years ago
14

(Please Help!) The formula to find a certain number in an arithmetic sequence is an=a1+d(n−1) where an represents the nth term o

f the sequence, a1 is the first term of the sequence, and d is the common difference. Solve for d.

Mathematics
2 answers:
k0ka [10]3 years ago
7 0

Answer:

The correct option is A) d=\frac{a_n-a_1}{n-1}

Step-by-step explanation:

Consider the provide equation.

a_n=a_1+d(n-1)

We need to solve the equation for d.

Subtract a_1 from both sides

a_n-a_1=a_1-a_1+d(n-1)

a_n-a_1=d(n-1)

Divide both sides by n-1.

\frac{a_n-a_1}{n-1}=\frac{d(n-1)}{n-1}

d=\frac{a_n-a_1}{n-1}

Hence, the correct option is A) d=\frac{a_n-a_1}{n-1}

Varvara68 [4.7K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

you move the a^1 to the left which becomes a^n-a^1. then you move (n-1) to the left as well which becomes a^n-a^1/n-1=d. you switch the places and tada, the answer.

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The sides of a rectangle are in a ratio of 3:4 and the area is 300 sq. ft. find the length and width
amid [387]
L = 20 and W = 15
Explanation:
Let's review what is known about the rectangle in question - the area is 300 cm squared and the ratio of the Length to the Width (which I'll shorten to L and W) is 4:3.
Let's start with the ratio. We know that they are related to each other - 4 of a basic unit of length for L and 3 of that same basic unit of length for W. So we can say that
L =
4
x
and W =
3
x
We also know from the formula for the area of a rectangle that LW = Area of the rectangle. Substituting in the terms with the x's in them gives us
(
4
x
)
(
3
x
)
=
300
so let's solve for x:
12
x
2
=
300
x
2
=
300
12
=
25
x
=
√
25
=
5
(ignoring the negative root since that makes no sense in this application)
Substituting x back into our equations for L and W, we get
L =
4
(
5
)
=
20
and W =
3
(
5
)
=
15
Checking our work - there is a ratio of L:W of 4:3. And LW =
20
⋅
15
=
300
Hope this is what you meant
5 0
4 years ago
What is 1+1? I need help fast.
Vesna [10]

Answer:

1+1 is 2

Hope it will help :)

3 0
3 years ago
teresa earns $6.25 per hour. Calculate he wage for the week where she works the following number of hours:
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The Science Club went on a two-day field trip. The first day the members paid $40 for transportation plus $19 per ticket to the
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Step-by-step explanation:

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Second day: 16x+85

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3 0
3 years ago
I need help 30 points mathematics
sp2606 [1]

First box

<em>4/10</em>

0.4 divided by 1

0.4/1 *10

= 4/10

Box on top that's the point where it's 3 away from 4/10

<em>0.7</em>

Bottom

<em>7/10</em>

<em />

0.7 divided by 1

0.7/1*10

= 7/10

Next box

<em>0.9</em>

9/10

= 0.9

6 0
3 years ago
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