A pendulum swings 80 cm on its first swing, 76 cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth swing. Complete parts a and b below.

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?

Step-by-step explanation:

Geometric sequences:

The nth term of a geometric sequence is given by the following equation.

In which r is the common ratio.

This can be expanded for the nth term in the following way:

In which is the first term.

In this question:

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13