Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Answer:
Find the 40th term for the arithmetic sequence in which
a8=60 and a12=48 .
Substitute 60 for a8 and 48 for a12 in the formula
an=a1+(n−1)d to obtain a system of linear equations in terms of a1 and d .
a8=a1+(8−1)d→60=a1+7da12=a1+(12−1)d→48=a1+11d
Subtract the second equation from the first equation and solve for d .
12=−4d−3=d
Then 60=a1+7(−3) . Solve for a .
60=a1−2181=a1
Now use the formula to find a40 .
a40=81+39(−3)=81−117=−36 .
Step-by-step explanation:
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.