Question

check whether 228 is a term of AP - 4,1,6,11....

Answer 1

happy to help u......

Answer 2

$\textbf {Question}$ :

Check whether 228 is a term of the AP => 4, 1, 6, 11...

$\textbf {Answer}$ :

Let's assume that $\sf a_{n}$ is 228 in the given AP. We can see that,

a = 4

d = - 3

Also,

$\sf a_{n} = a + (n-1)d$

Putting all the given values,

$\sf \: 228 = 4 + (n - 1)( - 3) \\ \\ \sf (n - 1)( - 3) = 224 \\ \\ \sf \: n - 1 = 74.67 \\ \\ \sf \: n = 75.67$

Because the value of n is not a whole number, 228 is not a term of the AP given.