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The 12th term of the geometric sequence is 177147.
• Geometric Progression is a type of sequence in mathematics where next term is produced by multiplying the preceding term by common ratio. Geometric Progression is also called as geometric sequence of numbers.
• Common ratio in geometric progression is the number we multiply or divide at each stage of the sequence. We can find it by dividing two consecutive pair of terms.
• Example of GP is 1, 2, 4, 8, 16, 32 …….
The nth term of GP is expressed as
nth = arⁿ⁻¹
where r is the common ratio and a is the first term
Sequence : 1,3,9…..
a = 1
r = 3/1 = 9/3 = 3
nth term = 13
nth = arⁿ⁻¹
12th = 1 × 3¹²⁻¹
12th = 1 × 3¹¹
12th = 1 × 177147
12th = 177147
Hence, the 12th term of the geometric series(1,3,9…) is 177147.
Learn more about geometric progression here
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