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blondinia [14]
3 years ago
8

Which expression represents the series pictured?

Mathematics
2 answers:
Strike441 [17]3 years ago
6 0
Hello,
Answer A
\sum _{i=0} ^4 {5^i}=5^0+5^1+5^2+5^3+5^4=1+5+25+125+625
MAXImum [283]3 years ago
4 0

Answer:

A. \sum_{i=0}^{4}5^{i}

Step-by-step explanation:

We are given the series, 1+5+25+125+625.

It is required to find expression representing the given series.

As, we have,

1=5^{0}

5=5^{1}

25=5^{2}

125=5^{3}

625=5^{4}

Thus, it can be seen that the power is ranging from 0 to 4.

Hence, the expression representing the series is, \sum_{i=0}^{4}5^{i}

So, option A is correct.

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Solve the question: (-4)+(-1)+2+5+...+x=437
Alex Ar [27]
The sequence is an arithmetic sequence with
a₁ = -4

d = a₂ - a₁
d = -1 - (-4)
d = -1 + 4
d = 3

an = x

Sn = 437


General formula in arithmetic sequence
Formula to find nth term
an = a₁ + d(n - 1)
Formula to find sum of sequence (sn)
Sn = n/2 (a₁ + an)

We have to make an equation system based on the problem
plug the numbers into the formula
First equation
an = a₁ + d(n - 1)
x = -4 + 3(n - 1)
x = -4 + 3n - 3
x = 3n - 7

Second equation
Sn = n/2 (a₁ + an)
n/2 (a₁ + an) = 437
n/2 (-4 + x) = 437
n(x -  4) = 874
xn - 4n = 874

Solve the equation system by subtitution method
Subtitute x with 3n - 7 in the second equation
xn - 4n = 874
(3n - 7)n - 4n = 874
3n² - 7n - 4n = 874
3n² - 11n - 874 = 0
(3n + 46)(n - 19) = 0
n = -46/3 or n = 19
Because the number of terms shouldn't be negative, -46/3 isn't required, so the value of n is 19.

Solve for x, back to the first equatin
x = 3n - 7
x = 3(19) - 7
x = 57 - 7
x = 50

The solution is 50
6 0
3 years ago
Several students were asked how many blocks they walk from home to school each day. The results are shown in the line plot. How
serious [3.7K]

Answer:

25 students.

Step-by-step explanation:

A line plot is a simple graph that shows relationship among the values in a data using a number line.

From the line plot, each dot represents a student. While the number on the line shows the number of blocks walk each day by each student.

It can be deduced from the line plot that;

Only 1 student walks through 7 blocks, 2 walk through 5 blocks, 8 walk 4 blocks, 5 walk 3 blocks, 5 walk 2 blocks and 4 walk through 1 block to school each day.

So that;

1 + 2 + 8 + 5 + 5 + 4 = 25

Therefore, the number of students who took part in the survey is 25.

4 0
3 years ago
SOMEONE PLEASE HELP ME!
Margarita [4]
36 over 25 is the answer Give the other person brainiest    Thank U!
8 0
3 years ago
Read 2 more answers
?>?>?>>??>Find the area of the kite.
sineoko [7]

Check the picture below.

\bf \stackrel{\textit{area of triangles on the left}}{2\left[\cfrac{1}{2}(2)(3) \right]}+\stackrel{\textit{area of triangles on the right}}{2\left[\cfrac{1}{2}(4)(3) \right]}\implies 6+12\implies 18

8 0
3 years ago
Work out the mean for the data set below: 6, 4
aliina [53]

Answer:

5

Step-by-step explanation:

The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.

8 0
3 years ago
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