3 algebra 2 questions?
True or false?
2) Find the sum of the infinite geometric series 80 + 40 + 20 +…, if it exists.
10
150
160
Does not exist
3) Find how many numerical codes are possible if the code must be two digits.
9
10
99
100
Thank you!:)
Favorite Answer
2. 80/(1-1/4)= 106.66666666666666 or 106 and 2/3.
3. 100, basically how many numbers are there from 00 to 99. By the way, theres 10 numbers from 0 to 9.
No, it isn’t. Each term is double the previous term, so it is a geometric series.
2) Find the sum of the infinite geometric series 80 + 40 + 20 +…, if it exists.
r = 0.5 and t[1] = 80, so S[inf] = t[1] / (1 – r) = 80 / 0.5 = 160
3) Find how many numerical codes are possible if the code must be two digits.
Assuming that the two digits of a code maybe the same (that is, 00, 11, 22 etc. are valid) then there are 100 valid codes from 00 to 99 inclusive.
2) converges to 160
3) 100 if you consider the pool to begin at the number 00, and 99 if it starts at 01
