Question

If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is in terms of t?

Answer 1

`s = (t)/(201)`

Explanation:

s = Product of all integers from 100 to 200

t = Product of all integers from 100 to 201

We have to express s in terms of t

All the numbers that are being multiplied to get s, are also being multiplied in t. But an additional number(201) is also multiplied to those numbers to get t.

So, we can say that if we multiply s by 201 we can get t. We can also represent this using equations:

s = 100 x 101 x 102 ... 198 x 199 x 200

t = 100 x 101 x 102 ... 198 x 199 x 200 x 201

Substituting the value of s in lower equation, we get:

t = s x 201

or

`s = (t)/(201)`