Answer:
option B
Step-by-step explanation:
an = 3n + 16
To identify the terms in the sequence we check with each option
A. 61
an = 3n + 16
61= 3n +6 (subtract 6 from both sides)
55= 3n (divide by 3 on both sides)
n =18.3 ( number of term cannot be a decimal)
B. 48
an = 3n + 16
48= 3n +6 (subtract 6 from both sides)
42= 3n (divide by 3 on both sides)
n =14 ( 48 is in 14th term)
C. 46
an = 3n + 16
46= 3n +6 (subtract 6 from both sides)
40= 3n (divide by 3 on both sides)
n =13.3 ( number of term cannot be a decimal)
D. 64
an = 3n + 16
64= 3n +6 (subtract 6 from both sides)
58= 3n (divide by 3 on both sides)
n =19.3 ( number of term cannot be a decimal)
