6/10 or 3/5
7/10
What are the choices for the answer?
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)
Yes because 7 ketchup packets is 28 teaspoons
Answer:
C = 6
D = 10
Step-by-step explanation:
C + 5 = 11
C + 5 -5 = 11 -5
C = 6
D + 4 = 14
D + 4 -4 = 14 -4
D = 10
C = 2 (pi) r
32 (pi) = c
32 (pi)= 2 (pi) r
r= 16
2r = d
d= 32
hope that helps
