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Nikolay [14]
3 years ago
15

S=n(a1+an)/2 gives the partial sum of an arithmetic sequence. What is the formula solved for an?

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
6 0
S = n(a1 + an)/2
2S = n(a1 + an)
2S = na1 + nan
nan = 2S - na1
an = (2S - n a1)/n
Oksana_A [137]3 years ago
5 0

Just took the quiz.

The answer is an=2S-a1n/n

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*Put in number form*
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2 years ago
reply to this with answer Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
Ivan

Answer:

Given expressions are equivalent.

Step-by-step explanation:

Given expression:

4 (x + 3) + 2x and 6 (x + 2)

Find:

Given equivalent expressions or not

Computation:

By taking LHS

4 (x + 3) + 2x

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By taking RHS

6 (x + 2)

6x + 12

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3 0
3 years ago
find a model for simple harmonic motion if the position at t = 0 is 6, the amplitude is 6 centimeters, and the period is 4 secon
Y_Kistochka [10]

Answer:

y = 6cos(π/2)t

Step-by-step explanation:

Given in the question that,

in a simple harmonic motion in which

at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.  

And,

the period is given as 4 sec

We know that model equation of simple harmonic motion is

<h3>y = a. cosb(t + c) + d</h3>

here,

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c is Horizontal shift or phase shift

d is Vertical shift

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<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>

y = 6cos π/2 (t + 0) + 0

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4 0
3 years ago
Explain how employee benefits affect total employment compensation.
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4 0
3 years ago
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