SOLUTION: 1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,…to find the following:
a) What is d, the difference between any 2 terms?
b) Using the formula for the nth term of an a
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Question 34411This question is from textbook College Algebra
: 1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,…to find the following:
a) What is d, the difference between any 2 terms?
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: They tell me it would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Help, Help, Help Please?
This question is from textbook College Algebra
Answer by mukhopadhyay(490) (Show Source): You can put this solution on YOUR website!
a) Difference is 2;
b) a(101) = 1+(101-1)(2) = 1+200 = 201;
c) S(20) = 20(1 + 19(2)/2) = 20(1+19) = 400;
d) S(30) = 30(1 + (29)2/2) = 30(30) = 900
e) Observation : Sum is the same as the square of the number of terms.
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