SOLUTION: The 20th term is 26 and the common difference is -5. Find the 1st term and 15th term.

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Question 1188493: The 20th term is 26 and the common difference is -5. Find the 1st term and 15th term.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
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The 20th term is 26 and the common difference is -5. Find the 1st term and 15th term.
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a%5B20%5D = a%5B1%5D + (20-1)*d


26  =  a%5B1%5D + 19*(-5)

26 - 19*(-5) = a%5B1%5D

26 + 95 = a%5B1%5D

a%5B1%5D = 121.  <<<---===  the 1-st term



a%5B15%5D = a%5B1%5D + (15-1)*(-5)

a%5B15%5D = 121 + 14*(-5) = 121 - 70 = 51.   <<<---===  a%5B15%5D.


ANSWER.  1-st term is 121.   15-th therm is  51.

Solved.



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The 20th term is 26 and the common difference is -5. Find the 1st term and 15th term.
 1st term: 121
15th term: 51