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What is the 100th term in an arithmetic sequence in which the first term is 1 and the common difference is 3?

a)298
b)300
c)301
d)304

2006-11-17 05:03:45 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

even though i do not know the answer, i want to commend you on your decency. many students come here asking questions without being polite. i hope you get the right answer...good luck

2006-11-17 05:12:33 · answer #1 · answered by summerglow 5 · 0 1

a) 298
because the 100th term is the sum of
the first term, which is 1, and 99 times the common difference, whic is 3.
1+99*3= 1+297=298

2006-11-17 13:08:22 · answer #2 · answered by AlexisEd 2 · 1 0

Best way to see patterns is to write out the first few:

term, value
1, 1
2, 4
3, 7
for k = term, then value is 1+(k-1)*3, right?

Now you can just use k=100 to get the value of the 100th term...

2006-11-17 13:09:41 · answer #3 · answered by modulo_function 7 · 1 0

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