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leygweniale
leygweniale leygweniale
  • 04-06-2016
  • Mathematics
Answered

Given the following sequence, find the 14th term: 3, 1, –1, –3, –5, . . .

A–28
B–25
C–23
D–21

Verified Answer :

arex21
arex21 arex21
  • 04-06-2016

C.-23 Just subtract two every time until you get to the 14 th number

Answer Link
Panoyin
Panoyin Panoyin
  • 05-06-2016

3, 1, -1, -3, -5
 -2  -2  -2  -2

a(n) = a₁ + d(n - 1)
a(n) = 3 - 2(n - 1)
a(n) = 3 - 2(n) + 2(1)
a(n) = 3 - 2n + 2
a(n) = -2n + 3 + 2
a(n) = -2n + 5
   a₁₄ = -2(14) + 5
   a₁₄ = -28 + 5
   a₁₄ = -23

The answer is C.

Answer Link

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