求数列 10, 11, 13, 16, 20,... 的第 8 项。答案

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完整解法

1. Find the pattern in the sequence

The differences between consecutive terms are:
$11-10=1$
$13-11=2$
$16-13=3$
$20-16=4$
So the sequence increases by $1, 2, 3, 4, \ldots$

2. Continue the pattern to obtain the 8th term

Continue adding the next differences:
$\text{6th term}=20+5=25$
$\text{7th term}=25+6=31$
$\text{8th term}=31+7=38$

答案

$38$

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