If you have studied some of the old SAT questions at some point you may have gone through questions like –
4 consecutive numbers sum to 166. What is the product of the numbers? or…
3 consecutive even numbers sum to X. What is their product?
The way the tutors and the online tutorials show seems to always be to algebraically solve this – for example 4 consecutive numbers would solve x+x+1+x+2+x+3 = 166, collect terms and solve…
However there is another way that works for this and works for other similar problems.
Continue reading “Sum/product of consecutive numbers and other math shortcuts”