Question

Anyone knows this? Please help

Answer 1

We see that terms in given sequence increases by 9 continuously so that means this is an arithmetic progression (AP)

so we will use nth term formula of AP to find the a14

a_n=a_1+(n-1)d

n=14 because we need a14

a1= first term = 2

d = common difference = 11-2=9

Now plug these values into formula $a_n=a_1+(n-1)d$

$a_{14}=2+(14-1)(9)$

$a_{14}=2+(13)(9)$

$a_{14}=2+117$

$a_{14}=119$

So the final answer is $a_{14}=119$