Find the 30th term of the arithmetic series 60, 53, 46, 39...

Daniella Reyes 2022-09-19 Answered
Find the 30th term of the arithmetic series 60, 53, 46, 39...
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Answers (1)

Abagail Stephenson
Answered 2022-09-20 Author has 9 answers
The standard Arithmetic sequence has terms
a ,a+d ,a+2d ,a+3d , ............ , a+(n-1)d
where a is the 1st term , d is the common difference and
a+(n-1)d is the nth term
d = a 2 - a 1 = a 3 - a 2 = ... ... . . = a n - a n - 1
here a = 60 , d = 53 - 60 = 46 - 53 = -7
To find the 30th term use the nth term with n = 30 , a = 60
and d = -7
a 30 = 60 + ( 30 - 1 ) ( - 7 ) = 60 + ( 29 × - 7 ) = - 143

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