Question

How many terms are there in given ap ? 32,36,44,.......,320

Answer 1

Given

32, 36, 44, .... 320 is an 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

$\implies 320 = 32 + (n -1)4\\\implies 320 = 32 + 4n -4\\\implies 320 = 28 + 4n\\\implies 4n = 320 - 28\\\implies 4n = 292$

$\implies n = \dfrac{292}{4}$

$\implies n = 73$

$\boxed{\boxed{\bold{Therefore, \ the \ total \ number \ of \ terms \ are \ 73}}}}$