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3 years ago

What is the sum of the geometric sequence 1,3,9, ... if there are 13 terms

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

The answer is 797,161

Step-by-step explanation:

This one is fairly easy if tedious.

How do you get from to 3 from 1? (multiply 1 by 3).

How do you get to 9 from 3? (multiply 3 by 3).

Then simply multiply each successive result by 3 until you have 13 results. Then add those 13 results.

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You and a friend went to the movies. You decide to get some snacks. You got 2 boxes of candy that cost $3.49 for each box. You a

Dima020 [189]

Answer:

You and your friend spent $17.30 together

Step-by-step explanation:

3.49 x 2 = 6.98

6.98 + 4.82 = 11.8

11.8 + 5.50 = 17.3

3 0

3 years ago

Fran is putting up a tent. Each triangular end of the tent has sides of length 6 ft. What is the approximate height of the tent,

Klio2033 [76]

Answer:

height = 5 ft

Step-by-step explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

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3 years ago

Hat is the value of the expression –5x4 when x = –2?

sleet_krkn [62]

$\bold{Hey\ there!}$

$\bold{Assuming,\ you\ meant: -5(-2)^4}$

$\bold{If\ so\ follow\ these\ steps\downarrow}$
$\bold{(-2)^4=16}$
$\bold{(-5)\times 16=-80}$
$\boxed{\boxed{\bold {Thus,\ your\ answer\ is: -80}}}\checkmark$

$\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}$

~ $\frak{LoveYourselfFirst:)}$

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3 years ago

The coefficient of x^ky^n-k in the expansion of (x+y)^n equals (nk). True or false.

AVprozaik [17]

Answer:

The correct option is;

False

Step-by-step explanation:

The coefficient of x^k·y^(n-k) is nk, False

The kth coefficient of the binomial expansion, (x + y)ⁿ is $\dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)$

Where;

k = r - 1

r = The term in the series

For an example the expansion of (x + y)⁵, we have;

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15

Therefore, the coefficient of x^k·y^(n-k) for the expansion (x + y)ⁿ = $C(n,k)$ not nk

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3 years ago

Rita wants to buy a sweater that was originally priced at $25.00. Today the sweater is on sale for 40% off the original price.Th

zmey [24]

Answer: $13.50

Step-by-step explanation:

5 0

3 years ago

What is the sum of the geometric sequence 1,3,9, ... if there are 13 terms​

What is the sum of the geometric sequence 1,3,9, ... if there are 13 terms