Question

$y,2y+7,y+6,...$
In the increasing sequence above, the first term is $y$ and the difference between any two consecutive terms is $3$. What is the value of the fourth term in the sequence?

• A. $-4$
• B. $2$
• C. $5$
• D. $13$
• E. $19$

Answer 1

Answer: (C)

$5$

Given series is $y,2y+7,y+6$

Given that the difference between any two consecutive terms is $3$.

Therefore $2y+7-y=3$

$\Rightarrow y=-4$.

Therefore the fourth term is $-4+(4-1)3=5$.