frac{2}{3}, quad frac{4}{7}, quad ?, quad fra | vedclass

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Question

(C) Analyze the pattern of the numerators: $2, 4, ?, 11, 16$. The differences are $4-2=2$,$?-4=x$,$11-?=y$,$16-11=5$. The differences are $2, 3, 4, 5$

Vedclass · Accepted Answer

$\frac{7}{13}$

Vedclass · Answer

(C) Analyze the pattern of the numerators: $2, 4, ?, 11, 16$. The differences are $4-2=2$,$?-4=x$,$11-?=y$,$16-11=5$. The differences are $2, 3, 4, 5$. Thus,the missing numerator is $4+3=7$.Analyze the pattern of the denominators: $3, 7, ?, 21, 31$. The differences are $7-3=4$,$?-7=x$,$21-?=y$,$31-21=10$. The differences are $4, 6, 8, 10$. Thus,the missing denominator is $7+6=13$.Therefore,the missing term is $\frac{7}{13}$.

$7$	$91$	$1001$	$7007$	$35035$	$105105$
$14.5$	$(a)$	$(b)$	$(c)$	$(d)$	$(e)$

$\frac{2}{3}, \quad \frac{4}{7}, \quad ?, \quad \frac{11}{21}, \quad \frac{16}{31}$

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