Find a_24 if a_17=−82,d=−3

snaketao0g

snaketao0g

Answered question

2022-10-30

Find a 24 if a 17 = - 82 , d = - 3

Answer & Explanation

Davion Fletcher

Davion Fletcher

Beginner2022-10-31Added 9 answers

Find the first element of the sequence using the formula for arithmetic sequences: a n = a 1 + ( n - 1 ) d

a 17 = - 82 = a 1 + ( 17 - 1 ) ( - 3 )
- 82 = a 1 + 16 ( - 3 )
- 82 + 48 = a 1 - 48 + 48
a 1 = - 24

Now use the arithmetic sequence formula to find a 24 :

a 24 = - 24 + ( 24 - 1 ) ( - 3 )
a 24 = - 24 + ( 23 ) ( - 3 )
a 24 = - 93

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