Middle School

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What is the value of the 24th term in the following arithmetic sequence?

\(-9, -2, 5, 12, ...\)

A. 152
B. -170
C. 170
D. -200

Answer :

I think the answer 152 or A!!

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Rewritten by : Barada

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.