jadaandjordan0212 jadaandjordan0212
  • 25-05-2022
  • Mathematics
contestada

what is the 8th term in the following sequence? 27, 39, 51, 63

Respuesta :

profarouk profarouk
  • 25-05-2022

Answer:

the 8th term = 111

Step-by-step explanation:

39-27=12

51-39=12

63-51=12

It’s clear that ,in this sequence we add 12 each time to a term to get the next term.

This means that this is an arithmetic sequence with a common difference of 12.

Therefore,

Term1 = 27  ; Term2 = 39  ; Term3 = 51  ; Term4 = 63

Term5 = 75

Term6 = 87

Term7 = 99

Term8 = 111

Method 2 :

Un = U1 + (n-1)r

r is the common difference = 12

U1 = 27 is the first term

Then

U8 = 27 + (8-1)×12

     = 27 + 7×12

     = 27 + 84

     = 111

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