oceanle
oceanle oceanle
  • 23-09-2020
  • Mathematics
contestada

find the 120th term of the following sequence
7, 14, 21, ...
a120 =

Respuesta :

jimrgrant1 jimrgrant1
  • 23-09-2020

Answer:

840

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 14 - 7 = 21 - 14 = 7

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 7 , thus

[tex]a_{120}[/tex] = 7 + (119 × 7 ) = 7 + 833 = 840

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