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Find the 12th term of the geometric
sequence 1, 3, 9, …

Sagot :

varshamittal029

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

https://brainly.com/question/24643676

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