Find the sum of the arithmetic sequence 137, 125, 113 …, if there are 38 terms

Uroskopieulm

Uroskopieulm

Answered question

2022-11-03

Find the sum of the arithmetic sequence 137, 125, 113 …, if there are 38 terms

Answer & Explanation

meexeniexia17h

meexeniexia17h

Beginner2022-11-04Added 18 answers

Given first term a 1 = 137
common difference =−12
number of terms n=38
compute the 38th term
a 38 = a 1 + ( n - 1 ) d
a 38 = 137 + ( 38 - 1 ) ( - 12 )
a 38 = - 307
Compute sum S 38
S 38 = n 2 ( a 1 + a 38 )
S 38 = 38 2 ( 137 + ( - 307 ) )
S 38 = - 3230

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