madihafr22
madihafr22 madihafr22
  • 10-07-2021
  • Mathematics
contestada

-3 , 1 , 5 , 9 , 13
find the 11th term of this sequence
show your working​

Respuesta :

jimrgrant1 jimrgrant1
  • 10-07-2021

Answer:

a₁₁ = 37

Step-by-step explanation:

There is a common difference between consecutive terms, that is

1 - (- 3) = 5 - 1 = 9 - 5 = 13 - 9 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 4 , then

a₁₁ = - 3 + (10 × 4) = - 3 + 40 = 37

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