DaemienY182440 DaemienY182440
  • 25-10-2022
  • Mathematics
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Find the 10th term of each geometric sequence below. Formula:

Find the 10th term of each geometric sequence below Formula class=

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CharvikB162579 CharvikB162579
  • 25-10-2022
[tex]\begin{gathered} \text{The nth term of the gp is given as} \\ a_n=ar^{n-1} \\ \text{for number 1} \\ a_1=20,\text{ r=}\frac{60}{20}=3,\text{ n =10} \\ a_{10}=20(3)^{10-1} \\ =20(3)^9 \\ =20(19683) \\ =393660 \end{gathered}[/tex]

for number 2

[tex]\begin{gathered} r\text{ = }\frac{2.5}{5}=\frac{1}{2} \\ a_{10}=\text{ 5 x (}\frac{1}{2})9 \\ \\ =5\text{ x }\frac{1}{512} \\ =\frac{5}{512} \\ =0.0097656250 \end{gathered}[/tex]

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