SOLUTION: Still need help. PLease if anyone can help, it would be very appreciated. Thank you. 1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10… to find the following: a) What

Algebra ->  Sequences-and-series -> SOLUTION: Still need help. PLease if anyone can help, it would be very appreciated. Thank you. 1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10… to find the following: a) What       Log On


   



Question 39191: Still need help. PLease if anyone can help, it would be very appreciated. Thank you.

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:
Show work in this space.


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.

Answer by kathysmiles77777(4) About Me  (Show Source):
You can put this solution on YOUR website!
B.sequences


To find the value of the nth term in an arithmetic sequence, use the following equation:


an = a1 + (n–1)d


a is the standard variable used to represent a term in a sequence and n counts the term number, so an represents the term in the sequence that you’re trying to find. d is the constant. To solve the problem, just substitute 101 for n, –3 for a1, and 5 for d.


a101 = -3 + (101 – 1)5
a101 = 497 part B