Answer:
292.5
Step-by-step explanation:
Given the sequence 1.4,5.5,9.6,13.7,...
The nth term of am arithmetic sequence is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
From the given data;
a = 1.4
d = 5.5-1.4 = 9.6-5.5 = 4.1
n = 72 (since we are looking for the 72nd term)
Substitute;
T₇₂ = 1.4+(72-1)(4.1)
T₇₂ = 1.4+71(4.1)
T₇₂ = 1.4+291.1
T₇₂ = 292.5
Hence the 72nd term of the sequence is 292.5
