Sometimes, we want to find the sum of the first however many terms of a geometric sequence. If there aren't many terms to count, this is nice and easy. However, if you want to quickly add the first 50 terms, for example, adding them manually would take a long time. We want a sho...
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How to Write a Recurring Decimal as a Fraction with an Infinite Series Recurring decimals can be written as a fraction using the geometric infinite series formula S∞=a/[1-r]. A decimal can be written as fractions out of 10, 100, 1000 and so on. Written in this way, the recurring ...
Creating the Formula of an Arithmetic Sequence If we were going to write this as a linear equation, we'd probably end up using slope-intercept form: y = mx + b. Remember that m tells us the slope, or how much it moves by, and b is the y-intercept, or where it begins when x ...
the sequence, n, as well as the factor. So if the second term in the sequence (at n = 2) is 6 and f = 2, a = 6/[2^(2 - 1)] = 3. You now have the first term, 3, and the factor, 2, that define the sequence, so you can write the sequence as 3, 6, 12, 24 ....
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