Kpenate1234
Kpenate1234 Kpenate1234
  • 20-05-2020
  • Mathematics
contestada

What's the tenth term of a sequence with an explicit rule of ƒ(n) = 2 + (–3)(n – 1)?

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berno berno
  • 25-05-2020

Answer:

[tex]-25[/tex]

Step-by-step explanation:

Given: [tex]f(n)=2+(-3)(n-1)[/tex]

To find: tenth term of a sequence

Solution:

A sequence is a list of numbers in which order does matter and repetitions are allowed. A term is a number in the sequence.

For example in the sequence 1, 3, 5, 7, 9, ....,3 is the second term,9 is the fifth term.

To find the tenth term of a sequence, put n = 10 in [tex]f(n)=2+(-3)(n-1)[/tex]

[tex]f(n)=2+(-3)(n-1)\\=2+(-3)(10-1)\\=2+-3(9)\\=2-27\\=-25[/tex]

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