QUESTION IMAGE
Question
is each term of the sequence equal to the previous term plus or minus the same number? (optional tab) enter the amount that each term was multiplied by to calculate the next term. (optional tab) is each term equal to the previous term multiplied or divided by the same non - zero constant? (optional tab) is each term equal to the sum of the previous two terms? (optional tab) is each term equal to the previous term plus a regularly increasing amount? each term of the sequence is equal to the previous term multiplied or divided by the same non - zero constant? yes no - 8 multiply 2 - 16 multiply - 14 multiply - 2 multiply 20
Step1: Check ratio between consecutive terms
For the sequence - 8, - 16, - 14, - 2, 20. Calculate $\frac{-16}{-8}=2$, $\frac{-14}{-16}=\frac{7}{8}$, $\frac{-2}{-14}=\frac{1}{7}$, $\frac{20}{-2}=- 10$. Since the ratios are not the same, each term is not equal to the previous term multiplied or divided by the same non - zero constant.
Step2: Check if term is sum of previous two terms
$-8+( - 16)=-24
eq - 14$, $-16+( - 14)=-30
eq - 2$, $-14+( - 2)=-16
eq20$. So each term is not equal to the sum of the previous two terms.
Step3: Check if term is previous term plus/minus same number
$-16-( - 8)=-8$, $-14-( - 16)=2$, $-2-( - 14)=12$, $20-( - 2)=22$. So each term is not equal to the previous term plus or minus the same number.
Step4: Check if term is previous term plus regularly increasing amount
There is no pattern of a regularly increasing amount being added from one term to the next.
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