Find the 110th term of the sequence -7,3,13,23
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Answer:
Answer: The value of the 110th term of the sequence -7 , 3 , 13 , 23 is 1083 .Step-by-step explanation:Airthmetic sequence is given by [tex]a_{n} = a_{1} + (n-1)d[/tex]Where [tex]a_{n}[/tex] is the nth term , [tex]a_{1}[/tex] is the first term and d is the common difference .[tex]d = a_{2}-a_{1}[/tex]As given the series-7 , 3 , 13 , 23 ....[tex]a_{1} =-7[/tex][tex]a_{2} =3[/tex][tex]d = 3-(-7)[/tex]d =10 Put all the values in the [tex]a_{n} = a_{1} + (n-1)d[/tex]. [tex]a_{110} = -7+ (110-1)\times 10[/tex] = -7 + 109 × 10 = -7 + 1090 [tex]a_{110} = 1083[/tex]Therefore the value of the 110th term of the sequence -7 , 3 , 13 , 23 is 1083 .
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