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Determine the next term in the sequence:

[tex]\[ 1, \frac{3}{7}, \frac{8}{3}, \ldots \][/tex]

Sagot :

GinnyAnswer
Certainly! Let's evaluate each term in the sequence step-by-step:

1. First Term:
[tex]\[ 1 \][/tex]
This is already given and does not require any computation.

2. Second Term:
[tex]\[ \frac{3}{7} \][/tex]
Converting this fraction to a decimal, we get:
[tex]\[ \frac{3}{7} \approx 0.42857142857142855 \][/tex]

3. Third Term:
[tex]\[ \frac{8}{3} \][/tex]
Converting this fraction to a decimal, we get:
[tex]\[ \frac{8}{3} \approx 2.6666666666666665 \][/tex]

4. Fourth Term:
[tex]\[ -1 \][/tex]
This value is already given as a whole number and does not require any computation.

Summarizing these results, the sequence is:
[tex]\[ 1, 0.42857142857142855, 2.6666666666666665, -1 \][/tex]

Thus, the given sequence in decimal form is:
[tex]\[ 1, 0.42857142857142855, 2.6666666666666665, -1 \][/tex]
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