How do you find the next four terms of the arithmetic sequence -6, -2, 2,...?

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Answer 1 · 2018-05-06T18:04:59

#6, 10, 14, 18#

Given: arithmetic sequence #-6, -2, 2, ...#

#a_1 = -6#

#a_2 = -2#

#a_3 = 2#

The common difference #d = a_2 - a_1 = -2 - (-6) = 4#

To find the next four terms, just add #4# to the next number.

Or, you can find #a_n = a_1 +(n-1)d#

#a_n = -6 + 4(n-1)#

#a_4 = -6 + 4(4-1) = -6 + 12 = 6#

#a_5 = -6 + 4(5-1) = -6 + 16 = 10#

#a_6 = -6 + 4(6-1) = -6 + 20 = 14#

#a_7 = -6 + 4(7-1) = -6 + 24 = 18#