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?
(Show your work)
b) Using the formula for the nth term of an arithmetic sequence, what is 101st term?
Answer:
(Show your work)
2006-12-11 02:32:33 · 8 answers · asked by chelleita 1 in Science & Mathematics ➔ Mathematics
difference:
9-7=7-5=5-3=3-1=2
thus,
d=2
formula:
A(n)= a + (n-1)d
n=101
A(101)=201
2006-12-11 02:41:05 · answer #1 · answered by Som™ 6 · 0⤊ 0⤋
The distance is 2. Pick any two adjacent terms (I'll pick 1 and 3) and subtract them. 3 - 1 = 2.
I don't know that formula so I'm a little leery of answering the second part. I know the nth term in this series is 2n-1, making the 101st term 201, but I couldn't tell you how to prove it.
2006-12-11 02:35:41 · answer #2 · answered by Amy F 5 · 0⤊ 0⤋
They are in Arithmetic progression. where a=2, d=4-2=6-4
2016-05-23 05:09:42 · answer #3 · answered by ? 4 · 0⤊ 0⤋
a) Take the first two terms and subtract:
d = 3 -1
d = 2
b) Arithmetic Sequence:
a_n = a1 + (n-1)2
a_101 = 1 + (101-1)2
a_101 = 1 + 200
a_101 = 201
2006-12-11 02:37:08 · answer #4 · answered by Anonymous · 0⤊ 0⤋
a) 3 - 1 = 5 - 3 = 7 - 5 ...
d = 2
b) P(n) = 2n - 1
P(101) = 2(101) - 1 = 201
2006-12-11 02:39:41 · answer #5 · answered by bayou64 4 · 0⤊ 0⤋
pt 2
{2n+1} (n = 0 to 100)
so, 100 is the 101st term - (2*100 + 1) = 200 + 1 = 201
---------------------------
2006-12-11 02:55:43 · answer #6 · answered by Anonymous · 0⤊ 0⤋
the formula is Xn=X1+(n-1)d
x1 is the first term and Xn can be the 101 term n=101
2006-12-11 02:37:51 · answer #7 · answered by photojenny 2 · 0⤊ 0⤋
are trying to get someone else to do your homework for you?
2006-12-11 02:39:50 · answer #8 · answered by Anonymous · 0⤊ 1⤋