Answer :
" 113 " is the 16th term in the sequence . given below is the complete solution to the question.
given: first term in sequence=a
distance=d=7
Here , d represents distance between cisecutive terms of sequence that is " first term is 'a' each term thereafter is 7 greater than the previous term"
From this we can write that
d=(2a-1)-a=7
⇒ a=8
where a=8 is the first term of sequence
To find:
[tex]a_{n}[/tex]=[tex]a_{16}[/tex]=? ⇒ n=16
Formula:
[tex]a_{n}[/tex]=a+(n-1)d
calculation:
[tex]a_{16}[/tex]=8+(16-1)(7) (by putting values in formula)
⇒ [tex]a_{16}[/tex]=113
which is required value of the 16th term in the sequence.
To learn more about sequences click here, brainly.com/question/16985901
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