Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

If the 3rd term in an arithmetic sequence is 10 and the sum of the 1st 6 terms is 72. The fifth term is.

Sagot :

jcherry99

Answer:

5th term = 18

Step-by-step explanation:

a1    +    a1+d      a1 + 2*d      a1+3d      a1 + 4*d     a1 + 5d

a1 + 2d = 10

6*a1 + 15d = 72

Multiply the first equation by 6

6a1 + 12d = 60

Write the above equation underneath the second equation

6a1  + 15d = 72

6a1 + 12d = 60                Subtract

3*d = 12                            Divide by 3

d = 12/3

d = 4

a1 + 2d = 10

a1 + 2*4 = 10

a1 + 8 = 10                        Subtract 8 from both sides

a1 - 8 = 10- 8

a1 = 2

The fifth term is

t5 = 2 + 4*4

t5 = 18

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.