Question

Is 234 is a term of the ap 3,7,11,15

Answer 1

Answer:

no it can't be a term

for nth term

a_n = a+(n-1)d

234=3+(n-1)4

that implies n=235/4 which does not belong to Natural numbers.

Answer 2

Answer:

No, it is not a term of the given AP.

Step-by-step explanation:

Is 234 is a term of the AP 3,7,11,15 ?

___________________________

Given sequence,

3,7,11,15,..

first term, a = 3

common difference, d = 15-11 = 11-7 = 7-3 = 4

Given term ⇒ Let it be nth term,  $a_n=234$

nth term of AP is given by,

$a_n=a+(n-1)d$

$234=3+(n-1)(4) \\234-3=(n-1)(4) \\231=4n-4\\231+4=4n\\4n=235\\n=235/4\\n=58.75 \\\\ \text{n must be a natural number}$

So,234 is not a term of the given AP.