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3 years ago

Find the common difference for the infinite arithmetic sequence shown.

Mathematics

1 answer:

mihalych1998 [28]3 years ago

4 0

The common difference is 12

Further explanation:

It is given that the infinite sequence is an arithmetic sequence

The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

$a_1 = 211\\a_2 = 223\\a_3 = 235\\a_4 = 247........$

The common difference is denoted by d.

Here,

$d = a_2-a_1 = 223-211 = 12\\a_3-a_2 = 235-223 = 12$

The common difference is same for all proceeding terms.

So,

d = 12

Keywords: Infinite arithmetic sequence, Common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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In a continuous series, mean(x) = 80, assumed mean(A) = 60 and<br>EF=40 then find the value of EFd.

Aneli [31]

Using the given information, the value of Σfd is 800

<h3>Calculating mean using Assumed mean </h3>

From the question, we are to determine the value of Σfd

The formula for mean, using the assumed mean method is given by

$\bar x = A + \frac{\sum fd}{\sum f}$

Where $\bar x$ is the mean

A is the assumed mean

From the given information,

$\bar x = 80$

$A = 60$

$\sum f = 40$

Putting the parameters into the equation, we get

$80 = 60 + \frac{\sum fd}{40}$

$80-60 = \frac{\sum fd}{40}$

$20 = \frac{\sum fd}{40}$

$\sum fd = 20 \times 40$

$\sum fd = 800$

Hence, the value of Σfd is 800

Learn more on Mean here: brainly.com/question/20118982

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8 0

2 years ago

Find the 72nd term of the arithmetic sequence -27, -11, 5, ...

MAXImum [283]

Step-by-step explanation:

first identify the common difference

The first term which i will define by u⁰=-27

u¹=u⁰+(1)d where d is the common difference and u¹ is the second term

u¹=-27+d

-11=-27+d

d=27-11=16

The 72nd term would be u⁷¹ since we started from u⁰ as our first term:

Use the explicit relation given by:

u(n)=u⁰+(n)d

u(71)=-27+71(d)

u⁷¹=-27+71(16)

u⁷¹=-27+1136

u⁷¹=1109

8 0

3 years ago

I need help with the #1 question. please help me

goblinko [34]

Answer:

The answer to number 1 is geometric sequence of A>

Step-by-step explanation:

8 0

3 years ago

If one-sixth of a number plus one-third returns two-thirds of that number What is the number

Solnce55 [7]

Answer:

$x= \frac{2}{3}$

Step-by-step explanation:

Let the number be x

Given

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Required

Find x

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Collect Like Terms

$\frac{1}{6}x - \frac{2}{3}x = - \frac{1}{3}$

Take LCM

$\frac{1 - 4}{6}x = \frac{-1}{3}$

$\frac{- 3}{6}x = \frac{-1}{3}$

Multiply both sides by 6

$6 * \frac{- 3}{6}x = \frac{-1}{3} * 6$

$-3x= -2$

Divide both sides by -3

$\frac{-3x}{-3}= \frac{-2}{-3}$

$x= \frac{2}{3}$

Hence, the number is $\frac{2}{3}$

7 0

4 years ago

Please answer questions 1 and/or 2, thnx

bixtya [17]

55.79 = 0.99<em>d + </em>39.95

55.79 - 39.95 = 15.84

0.99d = 15.84

0.99d/0.99 = 15.84/0.99

d = 16

2) Equation = 12.6 million = 4(x) + 1 million
12.6 million - 1 million = 11.6 million
11.6 million/4 = x
x = 2900000

hope this helps

7 0

3 years ago

Read 2 more answers