jerrmiahhhaiyg jerrmiahhhaiyg
  • 27-07-2021
  • Mathematics
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Find the value of term a14 in the sequence.

3, 1, –1, –3, –5, . . .

–23

–11

–9

–25

Find the value of term a14 in the sequence 3 1 1 3 5 23 11 9 25 class=

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sqdancefan
sqdancefan sqdancefan
  • 27-07-2021

9514 1404 393

Answer:

  (a)  -23

Step-by-step explanation:

The sequence is arithmetic with first term 3 and common difference -2. Then the general term is ...

  an = a1 +d(n -1)

  an = 3 -2(n -1)

and the 14th term is ...

  a14 = 3 -2(14 -1) = 3 -2(13) = 3 -26

  a14 = -23

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