SOLUTION: The difference between the tenth term and the seventh term of an arithmetic sequence is -60. The twelfth term divided by the sixth term is 2. Find the first term and the common dif

Algebra.Com
Question 1036199: The difference between the tenth term and the seventh term of an arithmetic sequence is -60. The twelfth term divided by the sixth term is 2. Find the first term and the common difference.
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
From the given, and .
The first equation becomes ==> 3d = -60 ==> d = -20.
The second equation becomes .
==>
<==>
==>

RELATED QUESTIONS

the first term of an arithmetic sequence is -5, and the twelfth term is 17 find the... (answered by ikleyn)
The seventh term of an arithmetic sequence is 1/2 and the 14th term is 6. What is the... (answered by Cromlix,advanced_Learner)
The tenth term of an arithmetic sequence is 42 more than the seventh term .If the first... (answered by richwmiller)
The tenth term of an arithmetic sequence is 42 more than the seventh term.If the first... (answered by tommyt3rd)
the third term and the seventh term of an arithmetic sequence are 11 and 27 respectively... (answered by Cromlix)
The fifth term of an arithmetic sequence is 41 and the twelfth term is 20. Determine the... (answered by josgarithmetic)
The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common (answered by ikleyn)
In an arithmetic sequence the seventh term is 9 times the first and the fourth term is... (answered by mananth)
The eighth term of an arithmetic sequence is 55 and the tenth term is 77. Find the third... (answered by robertb)