Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

16For an arithmetic series a₁ = -10 and S6 = -285, find the common difference.A-35B-25C -15D -5

Sagot :

Given:

An arithmetic series a₁ = -10 and S6 = -285

We will find the common difference (d) using the formula of the sum.

[tex]S=\frac{n}{2}(2a+(n-1)d)[/tex]

Substitute S= -285, a = -10, n = 6

[tex]\frac{6}{2}(2(-10)+(6-1)d)=-285[/tex]

Solve the equation to find (d):

[tex]\begin{gathered} 3(-20+5d)=-285 \\ -20+5d=-\frac{285}{3} \\ \\ -20+5d=-95 \\ 5d=-95+20 \\ 5d=-75 \\ \\ d=-\frac{75}{5}=-15 \end{gathered}[/tex]

So, the answer will be option C) -15

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.