Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem
Answer:
6. SAS Postulate
5. ASA Postulate
Step-by-step explanation:
Answer:
- 43t - 22s - 3
Step-by-step explanation:
(–45t + 53s) + (–3 – 75s + 2t)
Opening the brackets
-45t + 53s -3 - 75s + 2t
Collecting like terms
-45t + 2t + 53s - 75s -3
Simplify the expression
-43t -22s - 3
Answer: 2(3x^2-5x-1) or 6x^2-10x-2
Step-by-step explanation: combine like terms, and then factor by grouping :)
