Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
Answer:
8π(2.5)^2
Step-by-step explanation:
volume = π * r^2 * h
v = π * (2.5)^2 * 8
Answer:
Day 3 : 6 Day 2: 4 Day 1: 2 and so on
Step-by-step explanation:
This may not be correct but i think that you multiply the day number by two.
Answer:
the least common denominator would have to be 77
Step-by-step explanation:
because the product of 11 and 7 equals 77 but there is nothing less than that that can actually be a COMMON denominator
for example: 7 can be multiplied by numbers to get these out comes //
7,14,21,28,35,42,49,56,63,70,77 and 77 is the only one that 11 can actually equal to that is common with 7
