Question

The teacher is handing out note cards to her students. She gave 2 note cards to the first student, 6 note cards to the second student, 18 note cards to the third student, and 54 note cards to the fourth student. If this pattern continues, how many note cards will the teacher give to the fifth student?​

Answer 1

Answer:

162 because if you multiply all of them by 4 you get the answer

Answer 2

The teacher will give 162 note cards to the fifth student.

Students                       =  1    2    3    4    5
Number of handing     =   2   6   18   54   ?
out note cards

What is geometric progression?

It is pattern of series, its ratio with preceding values remains equal.

Here,
First term(a) = 2
common ratio(r) = 3
Nth term = ar^(n-1)

5th term =  2 x 3^(5-1)
               =  2 x 3^4
               = 162

Thus, the teacher will give 162 note cards to the fifth student.

Learn more about geometric progression here: https://brainly.com/question/4853032

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