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

a.
-6

b.
12

c.
15

d.
-12


Please select the best answer from the choices provided

a) A
b) B
c) C
d) D

Respuesta :

lublana

Answer:

Final answer is c. 15

Step-by-step explanation:

We need to find about what is the first term in the sequence for which d = -2 and a7 = 3

We will use nth term formula of arithmetic sequence.

[tex]a_n=a+\left(n-1\right)d[/tex]

we have been given a7 that means 7th term is 3

so plug n=7, d=-2 and a_n=3 into above formula

[tex]3=a+\left(7-1\right)(-2)[/tex]

[tex]3=a+6(-2)[/tex]

[tex]3=a-12[/tex]

[tex]15=a[/tex]

Hence final answer is c. 15

Answer:

c.

15

Step-by-step explanation:

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