I think it is 45 chocolate chips are needed for 36 cups of popcorn.
the smallest integer is 15
note that consecutive integers have a difference of 1 between them
let the smallest integer be n
then : n, n+ 1, n + 2, n + 3, n + 4, n + 5, n + 6
are seven consecutive integers with n + 6 being the largest, thus summing gives
7n + 21 = 6(6 + n)
7n + 21 = 36 + 6n ( distributing right side )
7n - 6n + 21 = 36 ( subtracting 6n from both sides )
n + 21 = 36 ⇒ n = 36 - 21 = 15
the smallest integer is 15
9514 1404 393
Answer:
n = 99
Step-by-step explanation:
The sum of logarithms is the log of a product. Here, the sum of terms is ...
log(2/1) +log(3/2) +log(4/3) + ... +log((n+1)/n)
= log((2/1)(3/2)(4/3)×...×((n+1)/n)) = log(n+1)
So, the question reduces to ...
log(n+1) = 2
Taking antilogs, we have ...
n +1 = 10^2 = 100
n = 99
The value of n that makes the sum 2 is 99.