High School

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are the first five terms of a sequence:

Here

9, 16, 23, 30, 37

b) Vick says that 137 is a term of this sequence. Is she correct? Explain your

answer.

137 is not a term of the sequence because 7n +2= 137 does not have a

solution.

137 is a term of the sequence because it ends in 37, just like the fifth term

37.

137 is not a term of the sequence because 7n +2= 137 gives n = 19.285...

which is not a whole number.

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137 is a term of the sequence because it is an odd number, just like the rest

of the terms.

137 is a term of the sequence because 7n+2= 137 gives n = 18, and so

137 is the 18th term.

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

Read more on sequences here:https://brainly.com/question/6561461

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