Let us observe the given series 37,74,111,148
Here, the first term (a) = 37
Common difference(d) = 74-37 = 37
Hence, the given series is in Arithmetic progression.
Hence the nth term of the series is given by:
[tex] a_{n}=a+(n-1)d [/tex]
Substituting the values of 'a' and 'd'.
[tex] a_{n}=37+37(n-1) [/tex]
Therefore, it is the required explicit formula.
