Given sequence: [tex]a_n=a_{n-1}+5[/tex]
[tex]a_1= -3.[/tex].
We need to find first four terms of the sequence.
We already given first term -3.
Let us find second term [tex]a_2[/tex].
Plugging n=2.
[tex]a_2=a_{2-1}+5 = a_1+5= -3+5 = 2.[/tex]
Now taking n=3.
[tex]a_3=a_{3-1}+5 = a_2+5= 2+5 = 7[/tex].
Now, n=4.
[tex]a_4=a_{4-1}+5 = a_3+5= 7+5 = 12[/tex].
We got terms -3, 2, 7 and 12.
Therefore, correct option is B) –3, 2, 7, 12.
