All categories

3 years ago

PLEASE HURRY Find the sum of the first 10 terms in the series: -3, 9, -27, 81... a. -14763 c. 44286 b. 4920 d. 59049

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

First find the pattern. The pattern is you multiply the number before by -3.

Just start with x as the first number.

x, -3x, 9x, -27x, 81x, -243x, 729x, -2187x, 6561x, -19683x

Add them all up: -14762

Now multiply by -3:

44286

Nitella [24]3 years ago

3 0

Answer:

$\huge \boxed{\mathrm{\bold{C.} \ 44286}}$

Step-by-step explanation:

-3, 9, -27, 81...

The common ratio can be found by taking the quotient of a term in the sequence and the previous term.

$\displaystyle \frac{9}{-3} =-3$

The common ratio is -3.

A term in the sequence multiplies itself by -3 to get the next term.

The nth term for the sequence is : $a_n=(-3)^n$

The first 10 terms of the sequence are :

-3, 9, -27, 81, -243, 729, -2187, 6561, -19683, 59049

Adding these 10 terms :

-3 + 9 + -27 + 81 + -243 + 729 + -2187 + 6561 + -19683 + 59049

⇒ 44286

You might be interested in

Misha deposited $3,725 into a savings account 22 years ago. The account has an interest rate of 2.2% and the balance is currentl

Annette [7]

The compounding equation is $A=P(1+ \frac{r}{n}) ^{nt}$ . So

$6012.37 = 3725(1+ \frac{0.022}{n}) ^{22n}$     Divide by 3725

$1.6141= (1+ \frac{0.022}{n}) ^{22n}$

Daily    = $(1+ \frac{0.022}{365}) ^{22*365}$
              = $(1.000060274) ^{8030}$
              = 1.6225
Monthly = $(1+ \frac{0.022}{12}) ^{22*12}$
              = $(1.0018333) ^{264}$
              = 1.6218
Quarter = $(1+ \frac{0.022}{4}) ^{22*4}$
              = $(1.0055) ^{88}$
              = 1.6204
Yearly = $(1+ \frac{0.022}{1}) ^{22*1}$
              = $(1.022) ^{22}$
              = 1.6141

The answer is yearly.

5 0

3 years ago

The sum of two consecutive integers is 345. What are the integers? need help with it

horrorfan [7]

Answer:

hi there ☺️

Here we will use algebra to find three consecutive integers whose sum is 345. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 345. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 345

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 345

3X + 3 = 345

3X + 3 - 3 = 345 - 3

3X = 342

3X/3 = 342/3

X = 114

Which means that the first number is 114, the second number is 114 + 1 and the third number is 114 + 2. Therefore, three consecutive integers that add up to 345 are 114, 115, and 116.

114 + 115 + 116 = 345

We know our answer is correct because 114 + 115 + 116 equals 345 as displayed above.

Step-by-step explanation:

pls rate me the brainiest

3 0

3 years ago

pin Co. has $52,000 in its Cash account, $20,000 in its Inventory account, and $12,000 in its Notes Payable (short-term) account

KatRina [158]

Answer:

60000

Step-by-step explanation:

Assets - liabilities = share holder equity

(52,000+20,000)−12,000=60000

5 0

3 years ago

I dont know how to divide a line segment.

melamori03 [73]

From point A, draw a line segment at an angle to the given line, and about the same length. The exact length is not important. Set the compasses on A, and set its width to a bit less than one fifth of the length of the new line. Step the compasses along the line, marking off 5 arcs. Label the last one C. With the compasses' width set to CB, draw an arc from A just below it. With the compasses' width set to AC, draw an arc from B crossing the one drawn in step 4. This intersection is point D. Draw a line from D to B. Using the same compasses' width as used to step along AC, step the compasses from D along DB making 4 new arcs across the line. Draw lines between the corresponding points along AC and DB. Done. The lines divide the given line segment AB in to 5 congruent parts.

6 0

3 years ago

Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 boxes of carrots and 71 boxes of potatoes. How

Ugo [173]

16 vegetables because 75-68=7 and 80-71=9 and 9+7=16

5 0

3 years ago

Read 2 more answers