Answer:
Step-by-step explanation:c
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:
- domain: all terms are defined for <em>all real numbers</em>
- solution: x = 6
Step-by-step explanation:
Rewrite the equation as a single exponential. After taking the log, the solution becomes obvious.

Answer:
2/8 or 1/4
Step-by-step explanation:
2/8 or 1/4 because the spots on the spinner are blue out of 8 is 2/8 or 1/4
Answer:
isosceles
Step-by-step explanation:
With AD║BC, ∠ADB ≅∠DBC. The angle bisection also ensures that ∠ABD≅∠DBC. Hence the two angles ABD and ADB must be congruent to each other.
A triangle with two congruent internal angles is an isosceles triangle.