Multiple to list the next five multiples of 3
1 answer:
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Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
The sum of the first n terms of an arithmetic sequence is given by:
In this question:
We want the sum of the first 37 terms, so we have to find
Then
The sum of the first 37 terms of the arithmetic sequence is 2997.
Answer:
#4. m=0;
#3. m =
Step-by-step explanation:
It seems right.
#4.
Maybe your teacher wants you to write m=0; because when a fraction has a numerator equal to zero then the fraction is zero.
#3.
Maybe your teachers want you to simplify the fraction and write m =
Answer:
Option D is correct.
Step-by-step explanation:
We can tell that
Now, let's simplify.
=>
=>
=>
=>
=>
Therefore, Option D is correct.
Hoped this helped.
Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)
we have that
m∠PQR=90° ----> equation B given problem (because is a right angle)
substitute equation B in equation A
m∠PQS+m∠SQR=90°
Remember that
Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)
therefore
m∠PQS and m∠SQR are complementary angles
