![]() ![]() ![]() Maybe these having two levels of numbers to calculate the current number would imply that it would be some kind of quadratic function just as if I only had 1 level, it would be linear which is easier to calculate by hand. Use the formula for the sum of an innite geometric series. Use the formula for the sum of the rst n terms of a geometric series. Use an explicit formula for a geometric sequence. This gives us any number we want in the series. Use a recursive formula for a geometric sequence. I do not know any good way to find out what the quadratic might be without doing a quadratic regression in the calculator, in the TI series, this is known as STAT, so plugging the original numbers in, I ended with the equation:į(x) = 17.5x^2 - 27.5x + 15. An infinite geometric series is an infinite sum whose first term is a1 and common ratio is r and is written. Sequences can have formulas that tell us how to find any term in the sequence. For example, 2,5,8 follows the pattern 'add 3,' and now we can continue the sequence. Some sequences follow a specific pattern that can be used to extend them indefinitely. Then the second difference (60 - 25 = 35, 95-60 = 35, 130-95=35, 165-130 = 35) gives a second common difference, so we know that it is quadratic. Sequences are ordered lists of numbers (called 'terms'), like 2,5,8. ![]()
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