Answer:
B and C work. A and D do not.
Step-by-step explanation:
This is one of those questions that you have to go through each answer to see what the results are. You don't have to go far to eliminate A and D so let's do that first.
A]
5n + 6
Let n = 1
5(1) + 6
5 + 6= 11
However there is trouble beginning with n = 2
5*2 + 6
10 + 6
16 All you need is one wrong answer and the choice is toast. So A won't work.
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Try D
6(n - 1)+ 5
n=0
6*(-1) + 5
-6 + 5
- 1
And D has been eliminated with just 1 attempt. n= 2 or n = 1 would be even worse. D is not one of the answers.
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B
Let n = 1
6(1) + 5
6 + 5
11 The first term works.
n = 2
6*(2) + 5
12 + 5
17 and n = 2 works as well. Just in case it is hard to believe, let's try n = 3 because so far, everything is fine.
n = 3
6*(3) + 5
18 + 5
23 And this also works. I'll let you deal with n = 4
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C
n = 0
6(0 + 1) + 5
6*1 + 5
6 + 5
11
n = 1
6(1 + 1) + 5
6*2 + 5
12 + 5
17 which works.
So C is an answer.
Answer:
Step-by-step explanation:
a1 = - 7
d = 4
an = a1 + (n - 1) * d
an = - 7 + (n - 1) * 4
an = - 7 + 4n - 4
an = -11 + 4n
Try this out. Let n = 3
a3 = -11 + 4*3
a3 = - 11 + 12
a3 = 1 Which is what the series says.
Answer:
95.69
Step-by-step explanation:
two sweaters costs 27.34 then one would cost 13.67
7×13.67 = 95.67
Answer:
D. 1
Step-by-step explanation:
We have the expression, 
We get, eliminating the cosecant function,
As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,
i.e. 
i.e. 
Since, we know that, 
Thus,
So, after simplifying, we get that the result is 1.
Hence, option D is correct.
