Answer:
12.5
Step-by-step explanation:
5 minus 1.5 is 3.5 so do the same with the bird house to create a pattern
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is
Multiply both sides by r :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for :
Then as gets arbitrarily large, the term will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Answer: 
Step-by-step explanation:
The sum of 10 consecutive integersstarting with 11
= 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155
Lets try 29:
29 + 30 + 31 + 32 + 33 = 155
Therefore our answer is:
Equation: 450 = 128 + 150 + n
work:
1st step:
128+150 = 278
2nd step:
450-278 = 172
answer: 172
3rd step (checking) :
450 = 128 + 150 + 172
450 = 278 + 172
450 = 450
Excise duty thus this type of tax is paid on goods sold
