dimazada08 dimazada08
  • 22-02-2020
  • Mathematics
contestada

the nth term of a sequence is \frac{3n^2}{2}. find the second and fifth term.

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amna04352
amna04352 amna04352
  • 22-02-2020

Answer:

6; 75/2

Step-by-step explanation:

nth term: 3n²/2

Second term: n=2

3(2²)/2 = 6

fifth term: n=5

3(5²)/2 = 75/2

Higher than 50:

3n²/2 > 50

3n² > 100

n² > 100/3

Since n is positive,

n > (100/3)^½

n > 5.7735

Since n is a natural number, n has to be atleast 6 for the number to be greater 50

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zombobly
zombobly zombobly
  • 22-02-2020

[tex]\frac{3{n}^2}{2}\\\\2nd\hspace{1mm}term: \frac{3{(2)}^2}{2} = \frac{12}2 = 6\\\\5th\hspace{1mm}term: \frac{3{(5)}^2}{2} = \frac{75}{2} = 37.5\hspace{1mm}or\hspace{1mm}37\frac{1}{2}[/tex]

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