Answer:
a6 = 972
Step-by-step explanation:
Use the generic rule and fill in the values you are given:
an = a1·r^(n-1) . . . . . for first term a1 and common ratio r
You are told a1 = 4, r = 3, so your rule is ...
an = 4·3^(n-1)
To find the 6th term, evaluate this expression for n=6.
a6 = 4·3^(6-1) = 4·243 = 972
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Or, you can simply start with the given first term and calculate each term by multiplying the previous one by 3.
4, 12, 36, 108, 324, 972, ...
