2015 AMC 10A Problems/Problem 7
Problem
How many terms are in the arithmetic sequence , , , , , ?
Solution
, so the amount of terms in the sequence , , , , , is the same as in the sequence , , , , , .
In this sequence, the terms are the multiples of going up to , and there are multiples of in .
However, one more must be added to include the first term. So, the answer is .
Solution 2
.
Solution 3
Using the formula for arithmetic sequence's nth term, we see that
.
Solution 4
Minus each of the terms by 12 to make the the sequence 1,4,7,....,61. 61-1/3=20
20+1=21
See Also
2015 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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