A mathematician, Pi, is walking on the number line on which each unit is divided into 17 equal intervals.
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Given that sequence 1.77, 1.92,2.07 is arithmetic sequence.
Using that we have to find 31st term.
To find that we can use nth term formula of arithmetic sequence which is given by:
where n is the number of term so n=31
t_n indicates nth term
a_1 is the first term so a_1=1.77
r is the common difference which is given by difference of consecutive terms
then r=1.92-1.77=0.15
Now plug these values into above formula
Hence final answer is 6.27.