Mathematics

Question

In a geometric sequence {an}, if a1 = 6 and r = 1.2, find a38. A) 273.6 B) 326.26 C) 5103.3735 D) 6124.0482

1 Answer

  • To calculate for the nth term of a geometric sequence, we use the formula,
                                          an = a1(r)^(n - 1)
    where an is the nth term, a1 is the first term, r is the common ratio, and n is the number of terms. Substituting the known values,
                                          an = (6)(1.2)^(38 - 1) = 5103.37
    Thus, the answer to this item is letter C. 
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