Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Evaluate the series

A) 249

B) 406

C) 392

D) 420

Evaluate The Series A 249 B 406 C 392 D 420 class=

Sagot :

regalmocha17

C. 392

Given the series:

[tex]\sum_{a=1}^{7} (3a^{2} - 4)[/tex]

We are told to evaluate it. This means that we substitute the value of a into the equation and then obtain the product and add it with the following products until we stop at the top value for a.

So, it would become:

[tex]\sum_{a=1}^{7} (3a^{2} - 4) = \\(3\times1^2 - 4) + (3\times2^2 - 4) + (3\times3^2 - 4) + (3\times4 ^2 - 4) + (3\times5^2 - 4) + (3\times6 ^2 - 4) + (3\times7^2 - 4)\\\\[/tex]

Solve.

[tex](3\times1^2 - 4) + (3\times2^2 - 4) + (3\times3^2 - 4) + (3\times4 ^2 - 4) + (3\times5^2 - 4) + (3\times6 ^2 - 4) + (3\times7^2 - 4)\\\\ = -1 + 8 + 23 + 44 + 71 + 104 + 143 \\= 392[/tex]

Thus, the value of the series is 392.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.