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Goryan [66]
3 years ago
7

What are the first four terms of the sequence defined recursively below?

Mathematics
2 answers:
pogonyaev3 years ago
7 0
I think the answer is D hope this helps
Bezzdna [24]3 years ago
6 0

Answer:

Answer is D

Step-by-step explanation:

on edge

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200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
2 years ago
. You invest £4000 in a fund which earns 11% compound return per year. How much would the fund be worth after 10 years, given th
zmey [24]

Answer: $5,678.85

Step-by-step explanation:

First find out how much the fund was worth after 5 years.

Compound interest formula:

= Investment * (1 + rate) ^ years

= 4,000 * ( 1 + 11%)⁵

= £6,740.23

Half was removed:

= 6,740.23/2

= £3,370.12

Then compound this for the remaining 5 years:

= 3,370.12 * (1 + 11%)⁵

= $5,678.85

7 0
3 years ago
Rewrite the radical expression as an exponential expression, and then simplify.
serg [7]
The third answer option is correct.  sqrt(x) = x^(1/2).  So sqrt(121) = 121^(1/2).
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Which of the measurements would be the most helpful in determining the wavelength
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So we want to know what do we need to measure to determine the wavelength of the wave on the image. A wavelength is the distance between peaks of the wave. More generally, the distance on which the wave shape repeats. So on the image we need to measure X to determine the wavelength. So the correct answer is X.
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Factor the trinomial x^2 - 3x - 40
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The answer is (x+5)(x-8)
Hope this helps
8 0
4 years ago
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