Answer:
10th term is 10
Step-by-step explanation:
The nth term for finding the geometric progression is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
a11 = ar^11-1
a11 = ar^10
Since a11 = -5 and r = -1/2
-5 = a(-1/2)^10
-5 = a(1/1024)
a= 1024 * -5
a = -5120
Nest is to get the 10th terms
a10 = ar^9
a10 = -5120 * (-1/2)^9
a10 = -5120 * -1/512
a10 = 10
Hence the 10th term of the sequence is 10
Answer:
30 divided by 2 = D
Step-by-step explanation:
None
Answer:
C) It is not possible. He needs to lose at least 5 lbs a week
Step-by-step explanation:
This would not be possible. To know, you have to plug 10 into the function:
-4(10) + 250 = 210
After getting this value, ou have to take it away from 250:
250 - 240 = 40 → This 40 represents the value for the amount of pounds lost
40 is less than 50, so he would have to lose more than 4 pounds a week
To see if losing 5 pounds is enough, replace the -4 from the function with a -5:
-4x + 250 = 210 → -5x + 250 = 210
From here plug in 10 just like the previous time:
-5(10) + 250 = 200
From here take 200 away from 250 to find the pounds lost in 10 weeks:
250 - 200 = 50
50 is equal to the goal of 50 pounds, so therefore, Luke needs to lose at 5 pounds a week
