The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 462, 453,444,...

Find the 32nd term.

183

Explanation:

462, 453, 444

Always start by subtracting the consecutive numbers.

462 - 453 = 9

453 - 444 = 9

Normally you can see a patron, and here there his is no exception :-).

You can construct the next number by subtracting 9 of the previous number in the sequence.

462 - 9

453 - 9

444 - 9

435 and so on...

If you want to find the 4th term then you need to multiply the 3rd by 9 and subtract it from the first term.

When you start with 462 - (3*9) you get 462 - (27) = 435

The same goes for the 32 term...

When you start with 462 - (31*9) you get 462 - (279) = 183

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