Find the 13th term in an arithmetic sequence whose first term is 10 and whose 4th term is 1

duandaTed05

duandaTed05

Answered question

2022-10-15

Find the 13th term in an arithmetic sequence whose first term is 10 and whose 4th term is 1

Answer & Explanation

Shyla Maldonado

Shyla Maldonado

Beginner2022-10-16Added 15 answers

Let the first term of an A.P. be a , common diff. be d , d 0 , & the n t h term be t n .
Then, we have the formula : t n = a + ( n - 1 ) d ... ... ... ... ( 1 )
In our case, a = 10 , n = 4 , t 4 = 1 . Using these values in (1),
1 = 10 + 3 d , giving, d=−3.
Hence, in (1), a = 10 , d = - 3 , so, t n = 10 - 3 ( n - 1 ) = 10 - 3 n + 3 = 13 - 3 n .
Reqd. Term . = t 13 = 13 - 39 = - 26 .

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