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  • 09-06-2021
  • Mathematics
contestada

What is the first term in the sequence for which d = -2 and a7 = 3?

A. -6
B. 12
C. 15
D. -12

Respuesta :

VestaHofman VestaHofman
  • 09-06-2021

Answer:

First term is 15

Step-by-step explanation:

Given data:

[tex]a_{7} =3\\d=-2[/tex]

Now,

[tex]a+6d=3.....(1)\\a_{n} =a+(n-1)d\\\\\\From equation (1)\\a+6(-2)=3\\a-12=3\\a=12+3\\a=15[/tex]

Therefore first term a =15

Correct option is (c)

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