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2 years ago

the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms

Mathematics

1 answer:

Travka [436]2 years ago

6 0

Answer:

$S_5=\dfrac{170}{9}$

Step-by-step explanation:

Given that,

The sum of first n term of a sequence is $S_n=20-\dfrac{10}{2n-1}$

We need to find the sum of the first 5 terms.

Put n = 5,

$S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}$

So, the sum of first 5 terms is equal to $\dfrac{170}{9}$ .

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Find the place value of 8 in 2456.1387. Tenths Hundredths Thousandths Thousands

rjkz [21]

Answer: Third Choice. Thousandths

Step-by-step explanation:

Concept:

Here, we need to know the order and name of each place value.

Please refer to the attachment below for the specified names.

Solve:

STEP ONE: Orde and name each place

2 ⇒ One Thousands

4 ⇒ Hundreds

5 ⇒ Tens

6 ⇒ Ones

1 ⇒ Tenths

3 ⇒ Hundredths

8 ⇒ One Thousandths

7 ⇒ Ten Thousandths

STEP TWO: Find the number [8] in the number

As we can see from the list above, 8 is at the right of the decimal point, thus, the place value is Thousandths.

Hope this helps!! :)

Please let me know if you have any questions

5 0

2 years ago

Carisssa's favorite cereal box is 14.5 inches tall 9.5 inches wide and 1.5 inched deep. What is the volume of the cereal box?

Lerok [7]

Answer:

206.625

Step-by-step explanation:

3 0

2 years ago

Berto invested in a precious mineral. The value of the mineral tend to increase by about 11% per year. He invest $40,000 in 2015

stealth61 [152]

the difference from 40000 to the future value in 2020, namely 5 years later is simply the yield or interest amount.

$\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$40000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &5 \end{cases} \\\\\\ I=(40000)(0.11)(5)\implies I=22000$

5 0

3 years ago

PLEASE HELP ASAP NO LINKS

insens350 [35]

function : p(x) = 65 + 25(x)

for 3 sells

p(3) = 65 + 25(3)

p(3) = 140

for 10 sells

p(10) = 65 + 25(10)

p(10) = 315

So,

140 ≤ p(x) ≤ 315

8 0

2 years ago

Read 2 more answers

The function f is defined by f(x)=2x^2-4. Find f(-x)

Vedmedyk [2.9K]

First of all, since all powers of x in this function are even, the entire function is even. Thus, using -x as input doesn't change the function. Thus, f(-x)=2x^2-4.

6 0

3 years ago

the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms​

the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms