Asked by MEDINA
Find the first term and the common different of an arithmetic progression if the sixth term is
25 and the sum of the six terms in the progression is 80.
25 and the sum of the six terms in the progression is 80.
Answers
Answered by
mathhelper
a + 5d = 25 or a = 25-5d
sum(6) = 3(2a + 5d) = 80
6a + 15d = 80
6(25-5d) + 15d = 80
150 - 30d + 15d = 80
-15d = -70
d = 70/15 = 14/3
then a = 25 - 5(14/3) = 5/3
your turn to finish it
sum(6) = 3(2a + 5d) = 80
6a + 15d = 80
6(25-5d) + 15d = 80
150 - 30d + 15d = 80
-15d = -70
d = 70/15 = 14/3
then a = 25 - 5(14/3) = 5/3
your turn to finish it
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