Respuesta :
Answer:
The first difference is -5. The next term is -31.
Step-by-step explanation:
If you find the difference between -6 and -11, then you get -5.
And, all the other ones also have differences of -5, so basically, the next term is -31.
Thanks! Please mark me Brainliest!
Answer:
- It could be arithmetic
- If so, then the first difference is -5
- and the next term is -31
===================================================
Explanation:
Pick any term and subtract off the previous term
- term2 - term1 = -11 - (-6) = -11 + 6 = -5
- term3 - term2 = -16 - (-11) = -16 + 11 = -5
- term4 - term3 = -21 - (-16) = -21 + 16 = -5
- term5 - term4 = -26 - (-21) = -26 + 21 = -5
No matter what we picked, we end up with the same result which is -5. This is the common difference aka first difference.
If this pattern keeps up forever, then the sequence is arithmetic.
And if the pattern keeps up, then the next term would be
term6 = term5 + (common difference)
term6 = -26 + (-5)
term6 = -31
Note: Adding -5 is the same as subtracting 5.
