What are the next three terms of the following geometric sequence: 32, 48, 72...
2 answers:
32
,
48
,
72
,
108
,162
Step-by-step explanation:
Answer:
The next three terms are 108, 162 and 243
Step-by-step explanation:
32, 48, 72...
Since the sequence is a gp, let us calculate the common ratio (r)
r = T2 / T1 = T3/T2
r = 48/32
r = 3/2
The first term(a) = 32
Now we are going to calculate for the next three term i.e T4, T5, and T6
T4 = ar^3
T4 = 32 x (3/2)^3
T4 = 108
T5 = ar^4
T5 = 32 x (3/2)^4
T5 = 162
T6 = ar^5
T6 = 32 x (3/2)^5
T6 = 243
The next three terms are 108, 162 and 243
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