please help i need this answer for my end of course test
a(1) = -13
a(n) = a(n - 1) + 4
Find the second term in the sequence.
Question options:

a) 9

b) -9

c) 8

d) -8

i will give you the brainliest

Respuesta :

Option B

The second term of sequence is -9

Solution:

Given that,

[tex]a(1)= -13\\\\a(n) = a(n-1) + 4[/tex]

We have to find the second term of sequence

To find the second term of sequence, substitute n = 2 in given recursive formula

Plug in n = 2 in above equation

[tex]a(2) = a(2-1) + 4\\\\a(2) = a(1) + 4[/tex]

Substitute a(1) = -13

[tex]a(2) = -13 + 4\\\\a(2) = -9[/tex]

Thus the second term of sequence is -9