Find d for the arithmetic series with s17=-170 and a1=2

Maribel Mcintyre

Maribel Mcintyre

Answered question

2022-10-26

Find d for the arithmetic series with s17=-170 and a1=2

Answer & Explanation

plomet6a

plomet6a

Beginner2022-10-27Added 20 answers

We use the formula s n = n 2 ( 2 a + ( n - 1 ) d ) ) to find the sum of an arithmetic series.
In our problem, we have that n=17, s 17 = - 170 and a=2. We are looking for d.
- 170 = 17 2 ( 2 ( 2 ) + ( 17 - 1 ) d )
- 170 = 17 2 ( 4 + 16 d )
- 170 = 34 + 136 d
- 204 = 136 d
d = - 1.5

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