Look at the pattern that follows. Which expression represents this pattern algebraically?
8, 17, 26, 35, 44, …
2 answers
You can observe that the difference between two consecutive numbers in the pattern is 9.
Common difference:
17 - 8 = 9
26 - 17 = 9
35 - 26 = 9
44 - 35 = 9
an = 8 + 9 * ( n - 1 ) = 8 + 9 n - 9 =
9 n - 1
n = 1
a1 = 9 * 1 - 1 = 9 - 1 = 8
n = 2
a2 = 9 * 2 - 1 = 18 - 1 = 17
n = 3
a3 = 9 * 3 - 1 = 27 - 1 = 26
n = 4
a4 = 9 * 4 - 1 = 36 - 1 = 35
n = 5
a5 = 9 * 5 - 1 = 45 - 1 = 44
17 - 8 = 9
26 - 17 = 9
35 - 26 = 9
44 - 35 = 9
an = 8 + 9 * ( n - 1 ) = 8 + 9 n - 9 =
9 n - 1
n = 1
a1 = 9 * 1 - 1 = 9 - 1 = 8
n = 2
a2 = 9 * 2 - 1 = 18 - 1 = 17
n = 3
a3 = 9 * 3 - 1 = 27 - 1 = 26
n = 4
a4 = 9 * 4 - 1 = 36 - 1 = 35
n = 5
a5 = 9 * 5 - 1 = 45 - 1 = 44
9 answers