To determine the relationship between the successive terms in the sequence 2.4, –4.8, 9.6, –19.2, we need to analyze the pattern in which the terms are changing.
First, let's examine the ratios between successive terms to see if there is a common ratio:
- The ratio between the second term and the first term is:
\[
\frac{-4.8}{2.4} = -2.0
\]
- The ratio between the third term and the second term is:
\[
\frac{9.6}{-4.8} = -2.0
\]
- The ratio between the fourth term and the third term is:
\[
\frac{-19.2}{9.6} = -2.0
\]
Since the ratio between each successive pair of terms is consistently \(-2.0\), the sequence has a common ratio of \(-2.0\). Therefore, the best description of the relationship between the successive terms in this sequence is:
**The common ratio is –2.0.**
Which best describes the relationship between the successive terms in the sequence shown?
2.4, –4.8, 9.6, –19.2
The common difference is –7.2.
The common difference is –2.4.
The common ratio is –2.0.
The common ratio is –0.5.
1 answer
4 answers