Question

4,14,24,34,44,54 what is nth term

Answer 1

Answer:

The$n^{th}term$ of the sequence $4,14,24,34,44,54$ is

$n^{th} term= 10n-6$.

Step-by-step explanation:

We have the equation of the nth term;

$n^{th} term$ $=a+(n-1)d$, where $a$ is the first term and $d$ is the common difference.

The given sequence is $4,14,24,34,44,54$.

So the first term $a=4$

common difference is the difference between the subsequent numbers.

here, $d=14-4=10$  (or $d=24-14=34-24=44-34=54-44$.)

Substituting in $n^{th} term$ we get

$n^{th} term=4+(n-1) 10\\ =4+10n-10\\ =10n-6$

Thank you