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Effectus [21]
3 years ago
7

Find the explicit rule for arithmetic sequence 13, 23, 33, 43

Mathematics
2 answers:
marta [7]3 years ago
5 0

Answer:  i forgot what the sequence is called but it is that sequence where you where subtract the first two numbers so for example if you subtract 13 from 23 you would get ten then you go to the next set of numbers so then you would subtract 33 from 43 and get 10..

Step-by-step explanation:

23-13=10, 43-33=10, 53-43=10, 63-53=10 and so on

so this sequence is having you find the common difference

hope this helps

LuckyWell [14K]3 years ago
4 0

Answer:

Add 10 to get the next term

Step-by-step explanation:

13

13 + 10 = 23

23 + 10 = 33

33 + 10 = 43

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express the limit as a definite integral on the given interval. lim n → [infinity] n ∑ i = 1 cos x i x i δ x , [ 2 π , 4 π ]
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The limit as a definite integral on the interval $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π , 4π] is $\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$.

<h3>What is meant by definite integral?</h3>

A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.

Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.

If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.

Let the equation be

$\int_a^b f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^n f\left(x_i\right) \Delta x$

substitute the values in the above equation, we get

= $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π, 4π],

simplifying the above equation

$\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$

To learn more about definite integral refer to:

brainly.com/question/24353968

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