Question

Find the 35th term of an A.P.
-5 , -11 , -17 , -23 , _____​

Answer 1

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Answer 2

Given

-5, -11, -17, -23..... are in AP

SOMETHING YOU NEED TO KNOW

aₙ = a + (n-1)d

aₙ = The last term

a = The first term

n = Number of terms

d = Common Difference

Here,

a = -5

n = 35

d = -11-(-5)

  = -11+5

  = -6

$\implies a + 34d\\\implies -5 + 34 (-6)\\\implies -5-204\\\implies -209$

$\boxed{\boxed{\bold{Therefore, \ the \ 35th \ term \ of \ the \ AP \ is \ -209}}}}$