Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,…to find the following:
a) What is d, the difference between any two consecutive terms? Show work..
b)Using the formula for the nth term of an arithmetic sequence, what is 101st term? Show work...
c)Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms? Show work...
d) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms? Show work....
e) What observation can you make about these sums of this sequence (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in "n."
2007-05-28 00:51:10 · 1 answers · asked by Anonymous in Education & Reference ➔ Homework Help
How much work do I have to do for two points?
a) d = 2 (figgure it out for yourself - ie how I did it)
b) Tn = a (first term) + (n-1)d
T 101 = 1 + (101 - 1)2
T 101 = 201
That's enough work for two points.
2007-05-28 01:12:52 · answer #1 · answered by jemhasb 7 · 0⤊ 0⤋