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3 years ago

Identify the following series as arithmetic, geometric, both, or neither.

Mathematics

2 answers:

Tems11 [23]3 years ago

8 0

Answer:

Step-by-step explanation:

kifflom [539]3 years ago

8 0

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

$\sum_{n=1}^{n=\infty}(3+an)$

Here, a = 3

So, our sequence becomes,

$3+a,3+2a,3+3a,................$

So, we can see that there is a common difference i.e. 'd'.

$d=a_2-a_1=3+2a-(3+a)=3+2a-3-a=a$

So, it becomes an arithmetic progression.

Hence, First Option is correct.

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Directions: Find the complemen

andre [41]

Given:

The angles are:

Example $54^\circ$

1. $63^\circ$

2. $87^\circ$

3. $45^\circ$

4. $72^\circ$

5. $5^\circ$

To find:

The complimentary angle of the given angles.

Solution:

If two angles are complimentary, then their sum is 90 degrees.

Example: Let x be the complimentary angle of $54^\circ$ , then

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$x=90^\circ -54^\circ$

$x=36^\circ$

Similarly,

1. The complimentary angle of $63^\circ$ is:

$90^\circ -63^\circ=27^\circ$

2. The complimentary angle of $87^\circ$ is:

$90^\circ -87^\circ=3^\circ$

3. The complimentary angle of $45^\circ$ is:

$90^\circ -45^\circ=45^\circ$

4. The complimentary angle of $72^\circ$ is:

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5. The complimentary angle of $5^\circ$ is:

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Therefore, the complimentary angles of $54^\circ, 63^\circ, 87^\circ, 45^\circ, 72^\circ, 5^\circ$ are $36^\circ, 27^\circ, 3^\circ, 45^\circ, 18^\circ, 85^\circ$ respectively.

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add 4j to both sides
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