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3 years ago

What is the sum of the geometric series 20 + 21 + 22 + 23 + 24 + … + 29?

Mathematics

2 answers:

aliya0001 [1]3 years ago

7 0

There are no answer is right !

alekssr [168]3 years ago

5 0

Answer:

The answer is a) 1,023

Step-by-step explanation:

A geometric series is a series with a constant ratio between successive terms. So, the given series must be in the exponential form.

$2^{0}+2^{1}+2^{2}+2^{3}+2^{4}+2^{5}+2^{6}+2^{7}+2^{8}+2^{9}$

We have been asked about the sum of the geometric series :

$1+2+8+16+32+64+128+256+512$

Sum = 1023

Hence, option A is the answer.

<h2><u>If Solving the series as it is given:</u></h2>

The given series : 20+21+22+23+....+29 is an arithmetic series.

Its sum is : $\frac{10(20+29)}{2}=245$

I have solved the question both ways. Both the answers are right with respect to the series name.

You might be interested in

Can someone solve this

marysya [2.9K]

From the Arithmetic Information given, Pr = 0.049375 ≠ -8.050625 ≠ 0.0325 See explanation below.

<h3>

What are the step by steps solution to the questions above?</h3>

First, lets us restate the question properly. We have

Pr = 1 - ((6*12+6)/80)² = 1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) = 1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²

Note that there are three equals signs. So lets divide the problem according and solve for the different parts.

Lets 1 - ((6*12+6)/80)² ............A

1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) .............B; and

1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6² ........C

Solving for A we have

1 - (78/80)²

= 1 - (0.975)²

= 1 - 0.950625

A = 0.049375

Solving for B we have

1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400)

= 1- (14,256/1600) - (216/1600) - (36/6400)
= 1 - 8.91 - 0.135 - 0.005625

B = -8.050625

Solving for C we have

1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²

= 1 - 0.005625 * 144 - 0.001875 * 12 * 6 - 0.00015625 * 144

= 0.0325

In summary we can state that:

A = 0.049375

B = -8.050625

C = 0.0325

Given that there were no abstract quantities, we can state that

Pr = A ≠ B ≠C or

Pr = 0.049375 ≠ -8.050625 ≠ 0.0325

Learn more about equations with equal signs at

brainly.com/question/18924248
#SPJ1

4 0

1 year ago

Solution to m^2- 36=0

alex41 [277]

Answer:

m=(-6,6)

Step-by-step explanation:

m^2 -36 = 0

Reorder the terms:

-36 + m^2 = 0

Solving for variable 'm'.

Add '36' to each side of the equation.

-36 + 36 + m^2 = 0 + 36

Combine like terms: -36 + 36 = 0

0 + m^2 = 0 + 36

m^2 = 0 + 36

Combine like terms: 0 + 36 = 36

m^2 = 36

Simplifying

m^2 = 36

Take the square root of each side:

√m^2=+/-√36

m=(+/-)6

m = {-6, 6}

4 0

3 years ago

Kayla had 64b dollars. She gave 1/8 of it to Luke and spent $45. How much money did Kayla have left? Express answer in terms of

beks73 [17]

We know that
<span>1) Kayla originally has 64b dollars
</span>2) <span>She gave 1/8 of it to Luke-----> (1/8)*64b=8b
in this moment Kayla has------> 64b-8b=56b
3) </span>Kayla spent $45
in this moment Kayla has------> 56b-$45

therefore

the answer is
(56b-$45)

4 0

3 years ago

Read 2 more answers

Pa tulong po pleasee

astraxan [27]

Answer:

1. 7

2. 54÷2=27

only this I know please put brainlest

5 0

2 years ago

Read 2 more answers