SOLUTION: the 12th term of an A.P is -41. given that the first term is 3,find the 20th term

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Question 1147255: the 12th term of an A.P is -41. given that the first term is 3,find the 20th term
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39628)   (Show Source): You can put this solution on YOUR website!
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the 12th term of an A.P is -41. given that the first term is 3,
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Common Difference, d

-----solve for d.

General term is .
n is index of a term.
Answer by ikleyn(52872)   (Show Source): You can put this solution on YOUR website!
.

The distance between  and  is given as 41+3 = 44.


There are 11 gaps between these terms, each gap is of the same length, equal to the modulus of the common difference.


So, the gap is  = 4 units, and the common difference is  -4 units.


Thus the 20-th term is  3 + 19*(-4) = -73.      ANSWER


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