Write a rule for the nth term of the arithmetic sequence and then find a_10 for 1/4,0,−1/4,−1/2,−3/4

Aryanna Blake

Aryanna Blake

Answered question

2022-10-16

Write a rule for the nth term of the arithmetic sequence and then find a 10 for 1 4 , 0 , - 1 4 , - 1 2 , - 3 4

Answer & Explanation

Warkallent8

Warkallent8

Beginner2022-10-17Added 16 answers

Given the Arithmetic sequence
a 1 = ( 1 4 ) , a 2 = 0 , a 3 = - 1 4 , ...
common difference d = a 2 - a 1 = a 3 - a 2 = a 4 - a 3 for A. P.
d = 0 - 1 4 = - 1 4
nth Term a n = a + ( ( n - 1 ) d )
10th Term a 10 = a + ( ( 10 - 1 ) d )
( 1 4 ) + ( 10 - 1 ) ( - 1 4 ) ) = 1 4 - ( 9 ( 1 4 ) )
1 4 - 9 4 = 8 4 = 2

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