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dmitriy555 [2]
3 years ago
6

Anyone knows this? Please help

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

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

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