Question

Guess the $3^{rd}$ term of an arithmetic sequence whose first term is $92.$ The difference between two consecutive terms is $8.$

• A. $108$
• B. $76$
• C. $96$
• D. $106$

Answer 1

Answer: (A), (B)

$76$

The first term of the arithmetic sequence is $92.$
The difference between the $1^{st}$ and the $2^{nd}$ term is $8.$
$\therefore$ The second term is $92+8=100$ or $92-8=84.$

For the sequence $92,100,$ the next term should be $100+8=108.$
$\to 92,100,108$

For the sequence $92,84,$ the next term should be $84-8=76.$
$\to 92,84,76$