Answer :
137 is not a term in this sequence due to the fact that 7n +2= 137 gives n = 19.285 which is not a whole number.
How to solve for the sequence
We have to use the formula
tn = a + ( n - 1) d
where we have tn = 137
a is the first term = 9
n i unknown
d is the difference = 16 - 9 = 7
We have to put these values in the formula such that
137 = 9 + (n - 1) 7
then we have to expand this
137 = 9 + 7n - 7
take the like terms
137 = 9 - 7 + 7n
137 = 2 + 7n
137 - 2 = 7n
135 = 7n
divide through by 7
135 / 7 = 7n / 7
n = 19.28571...
This is not a whole number, hence 137 is not a term in the sequence that we have here
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