Answer:
- 8
Step-by-step explanation:
The common difference d between consecutive terms is
d = - , that is
d = - 4 - (- 2) = - 4 + 2 = - 2
To obtain the next term subtract - 2 from - 6
next term = - 6 - 2 = - 8
next term of the arithmetic sequence -2,-4,-6 is -8
The next term in an arithmetic sequence is last term + common difference.
It is given an arithmetic sequence,
-2, -4, -6,...
<u>To find the next term</u>
Here common difference d = -4 - - 2 = -4 + 2 = -2
Next term = last term + common difference = -6 + - 2 = -8
Therefore the next term in the given sequence is -8
See the image for solution.
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