Question: The rule for nth term of a pattern is n2 + 4. Find the first four terms of the pattern starting from 0.
A ) 4, 5, 8, and 13 B ) 4, 6, 9, and 14 C ) 0, 4, 5, and 8 D ) 1, 4, 5, and 8
Steps to derive
1 The rule for nth term of the pattern is n2 + 4. [Given.]
2 To get the first term, substitute n = 0 in n2 + 4 = (0)2 + 4 = 0 + 4 = 4 To get the second term, substitute n = 1 in n2 + 4 = (1)2 + 4 = 1 + 4 = 5 To get the third term, substitute n = 2 in n2 + 4 = (2)2 + 4 = 4 + 4 = 8 To get the fourth term, substitute n = 3 in n2 + 4 = (3)2 + 4 = 9 + 4 = 13.
3 So, the first four terms starting from 0 is 4, 5, 8, and 13.
