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Mathematics
26 March, 06:23
What are the next 4 terms to this sequence
2, 6, - 4, 10, - 14,
+3
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1
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Amaris Duran
26 March, 06:34
0
24, - 38, 62, - 100
Step-by-step explanation:
The recursive formula is a_n = a_ (n-2) - a_ (n-1)
so. we try this 4 times after the - 14 term
a_3 = - 4 = 2 - 6 = a_1 - a_2
...
a_6 = a_4 - a_5 = 10 - (-14) = 24
a_7 = a_5 - a_6 = - 14 - (24) = - 38
a_8 = a_6 - a_7 = 24 - (-38) = 62
a_9 = a_7 - a_8 = - 38 - 62 = - 100
a_10 = a_8 - a_9 = 62 - (-100) = 162
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