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What is the formula to find the 21st term?

0, 1/6, 1/3, 1/2, .... Find the 21st term.

2007-09-09 14:51:42 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

It's an arithmetic sequence, with d=1/6.

The 21st term = 0 + (1/6)(20) = 20/6 = 10/3

The formula is: 1st term + d(n-1), where d is the common difference between terms, and n is the number of the term you are looking for.

2007-09-09 14:57:36 · answer #1 · answered by jenh42002 7 · 1 0

If you look closely, you will see that there is a constant difference between the terms. How many terms at what difference will give you the answer. Remember that 0 is the first term, not 1/6.

2007-09-09 21:58:07 · answer #2 · answered by Tom K 6 · 1 0

let's try:

the sequence here by multiplying a number to the base(1/6) to the base to get the next term..
getting the formula..

let n = number for the sequence
it's just (1/6)n
so the 21st term is
20
---- = ans
6
simplifying: it will be 10/3

hope this helps!

2007-09-09 22:02:22 · answer #3 · answered by toffer 3 · 1 0

3.5

2007-09-09 21:57:06 · answer #4 · answered by ZelosWilder 5 · 0 1

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