devilcake71 devilcake71

14-04-2021
Mathematics

contestada

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
A) 14/13
B) 25/7
C) 4

Respuesta :

unicorn3125 unicorn3125

15-04-2021

Answer:

C) 4

Step-by-step explanation:

The nth term of arithmetic sequence is [tex]a_n=a_1+d(n-1)[/tex]

So:

[tex]a_{15}=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=\dfrac{56}{14}=4[/tex]

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