SOLUTION: I have the first answer I think, but I am stuck on the rest. Please help!! 1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10… to find the following: a) What is d

Question 38753: I have the first answer I think, but I am stuck on the rest. Please help!!

1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10… to find the following:
a) What is d, the difference between any 2 terms?
Answer: d=2
Show work in this space. You are adding 2 each time in the first list, so d = 2

b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.

c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?
Answer:
Show work in this space.

d) Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?
Answer:
Show work in this space.

e) What observation can you make about these sums of this series (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)?
Answer:

Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website!
2, 4, 6, 8, 10…
b) Using the formula for the nth term of an arithmetic sequence, what is 101st term?

c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?

d) Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?

e) What observation can you make about these sums of this series (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)?
Well, we have the sums of first 20 and first 30, so I see the number greatly increasing as the sum of the higher numbers increases.