Arithmetic patterns Knowledge-Based Download PDF

Questions

1. 1.

   What is the first negative term in the arithmetic pattern $85, 79, 73, 67, \dots$?

   • A) $-5$
   • B) $-1$
   • C) $-6$
   • D) $-11$
2. 2.

   The algebraic expressions $2k - 1$, $3k + 2$, and $6k - 1$ represent three consecutive terms of an arithmetic pattern in the order given. What is the value of $k$?

   • A) 3
   • B) 2
   • C) 4
   • D) 5
3. 3.

   In an arithmetic pattern, the sum of the 3rd and 5th terms is 42, and the 6th term is 27. What is the common difference of this pattern?

   • A) 6
   • B) 5
   • C) 4
   • D) 3
4. 4.

   The four numbers $14$, $x$, $y$, and $38$ form an arithmetic pattern in that order. What is the value of $x + y$?

   • A) 52
   • B) 48
   • C) 26
   • D) 24
5. 5.

   Which expression represents the $n$-th term of the arithmetic pattern $4, 11, 18, 25, \dots$?

   • A) $7n - 1$
   • B) $7n - 3$
   • C) $4n + 3$
   • D) $7n + 4$
6. 6.

   In an arithmetic pattern, the 4th term is 19 and the 9th term is 44. What is the first term of this pattern?

   • A) 1
   • B) 3
   • C) 4
   • D) 5
7. 7.

   In the arithmetic pattern $5, 9, 13, 17, \dots$, which term is equal to $93$?

   • A) 22nd term
   • B) 23rd term
   • C) 24th term
   • D) 25th term
8. 8.

   An arithmetic sequence begins with 7, 13, 19, 25, ... What is the 20th term of this sequence?

   • A) 115
   • B) 121
   • C) 127
   • D) 133