In this sequence, the rule is +7.
-9 + 7 = -2
-2 + 7 = 5
5 + 7 = 12
So, to find the 24th term we can continue adding 7 until we reach the 24th term.
12 + 7 = 19
19 + 7 = 26
26 + 7 = 33
33 + 7 = 40
40 + 7 = 47
47 + 7 = 54
54 + 7 = 61
61 + 7 = 68
68 + 7 = 75
75 + 7 = 82
82 + 7 = 89
89 + 7 = 96
96 + 7 = 103
103 + 7 = 110
110 + 7 = 117
117 + 7 = 124
124 + 7 = 131
131 + 7 = 138
138 + 7 = 145
145 + 7 = 152
The 24th term in the sequence is 152.
Answer:
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Y = mx + b
slope(m) = -3
(-1,-6)...x = -1 and y = -6
now we sub and find b, the y int
-6 = -3(-1) + b
-6 = 3 + b
-6 - 3 = b
-9 = b
y = -3x - 9...add 3x to both sides
3x + y = -9 <== standard form
Answer: a) 0.07910, b) 0.000976, c) 0.7626
Step-by-step explanation:
Since we have given that
Number of questions = 5
Number of choices = 4
P(getting correct) = 
a) the first question she gets right is the 5th question?
P(getting 4 wrongs answers and one right answer) is given by

b) she gets all of the questions right?
P(all right )= 
c) she gets at least one question right?
1-P(All of them wrong)

Hence, a) 0.07910, b) 0.000976, c) 0.7626