keduseyoseph70 keduseyoseph70
  • 29-08-2022
  • Mathematics
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Find an explicit formula for the arithmetic sequence 10,-10,-30,-50,

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abidemiokin
abidemiokin abidemiokin
  • 30-08-2022

The  explicit formula for the arithmetic sequence is -20n + 30

Arithmetic sequence

The nth rule of an arithmetic sequence is expressed according to the equation below;

Tn = a+(n-1)d

where

a is the first term = 10

d is the common difference = -10-10  = -20

Substitute

Tn = 10 + (n-1)(-20)

Tn = 10+(-20n+20)
Tn = 10 - 20n +20
tn = -20n + 30

Hence the  explicit formula for the arithmetic sequence is -20n + 30

Learn more on arithmetic sequence here: https://brainly.com/question/6561461

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