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Andrews [41]
3 years ago
5

Find a28 in the arithmetic sequence: 5.8, 3.5, 1.2, -1.1,

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

Answer:

-56.3

Step-by-step explanation:

We don't have to much guessing because it tells us it is arithmetic which means it has a common difference.

That is a term minus it's previous will be the same.

3.5-5.8=-2.3

1.2-3.5=-2.3

-1.1-1.2=-2.3

In general:

a_n-a_{n-1}=-2.3 with a_1=5.8 if you wanted the recursive form.

You can also find the explicit form which would be more helpful for our task of finding the 28th term.

a_n=a_1+d(n-1) is the explicit form where d is the common difference and a_1 is the first term.

Inputting -2.3 for d and 5.8 for a_1:

a_n=5.8+-2.3(n-1)

Now the 28th term or a_{28} can be found by replacing n with 28:

a_{28}=5.8+-2.3(28-1)

a_{28}=5.8+-2.3(27)

a_{28}=-56.3

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Leya [2.2K]

The measure of angle (m ∠A) is 136°

<h3>Vertical angles theorem</h3>

From the question, we are to find the measure of angle A

From the given information, we have that

∠A and ∠B are vertical angles

Thus

∠A = ∠B

and

Also, from the given information,

m ∠A=(2x+26)°

and

m ∠B= (3x−29)°

∴ (2x+26)° = (3x−29)°

Now, solve for x

2x + 26 = 3x - 29

26 + 29 = 3x - 2x

55 = x

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But measure of angle A is given by

m ∠A=(2x+26)°

Put the value of x into the equation,

m ∠A=(2(55)+26)°

m ∠A=(110+26)°

m ∠A = 136°

Hence, the measure of angle (m ∠A) is 136°

Learn more on Vertical angle theorem here: brainly.com/question/24839702

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6 0
1 year ago
Sears editing ‘company is a small editorial services company owned and operated by deloris Sears. On January 31, 20Y1 , the end
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1. Preparation of   the adjusting entries for

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(To record insurance expense)

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($1980 - $375)

Cr Supplies  $1,605

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c. Dr  Depreciation expense $6,000

Cr Accumulated depreciation-building  $6,000

(To record depreciation expense on building)

d. Dr  Depreciation expense $3,000

Cr Accumulated depreciation-equipment  $3,000

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e. Dr Unearned rent $5,400

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f. Dr Salaries and wages expense $2,900

Cr Salaries and wages payable  $2,900

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Cr Fees earned  $18,600

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Salaries and wages expense $196,270

Utilities expense $42,375

Advertising expense $22,800

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