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4 cards from this section. Quick, good the night before a test.
Find the sum of the first 15 terms of the arithmetic series: 5 + 10 + 15 + ...
Use the formula S_n = (n/2) * [2a + (n-1)d].
Identify whether the sequence 3, 6, 12, 24 is arithmetic or geometric.
Check if each term is multiplied by a constant ratio.
What is the formula for the sum of an arithmetic series?
Remember the structure of S_n.
True or False: The common ratio in a geometric series can equal 1.
Think about how terms would behave if r = 1.
If the sum of the first n terms of an arithmetic series is 120, and the first term is 5 with a common difference of 3, determine n.
Use the arithmetic sum formula to set up an equation.
A company doubles its profits every year, starting with $1000. Find the total profits over the first 5 years and the profit in year 5.
Recognize it as a geometric series with a common ratio of 2.
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