Answer:-2
Step-by-step explanation:
A P E X
Answer:
See below
Step-by-step explanation:
-4 (1/3)^(n-1)
Part A
<em><u>For n = 1</u></em>
-4(1/3)^(1 - 1)
-4(1/3)^0 Anything to the 0 power (except 0) is 1
-4 (1)
-4
<em><u>n = 2</u></em>
-4(1/3)^(2 - 1)
-4*(1/3)^1
-4/3
<em><u>n = 3</u></em>
- 4(1/3)^2
-4/9
<em><u>n = 4</u></em>
-4/(1/3)^3
-4 / 27
Part B
The series converges.
1/3 is between -1 <= 1/3 <= 1
Part C
<em><u>Formula</u></em>
Sum = a/(1 - r)
a = - 4
r = 1/3
Sum = -4/(1 - 1/3) = -4//2/3 = - 4/(0.666666666...) = -6
The answer is a. If there is an i in the equation, then that means “i” is imaginary.
8 pigs x 4 legs each = 32. so you need 2 ducks to give you 10 animals total. So 32 + 2 ducks with 2 legs = 36.
There are 8 pigs and 2 ducks.
Given equations are;<span>
2a + 3b = -1 ..................equation 1
3a + 5b = -2 ....................equation 2</span>
Now multiply equation 1 with (-3)
The equation will be;
-6a -9b = 3 …………………..equation 3
Now multiply equation 2 with (2)
The equation will be;
6a + 10b = -4 ……………..equation 4
Now add equation 3 and equation 4
-6a – 9b = 3
<span>6a + 10b = -4</span>
<span>------------------------------</span>
0a + b = -1
b = -1
Now put the value of b in equation 1
2a + 3(-1) = -1
2a -3 = -1
2a = -1+3
2a = 2
a=1
Thus the solution is (a,b) = (1,-1)
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