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

Question

Ruthie

Mathematics

8 July, 22:06

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

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Terry · Answer 1

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.