Asked by dan
Find the sum of the arithmetic progression
4 + 9 + 14 + 19 + …….94 + 99 + 104
4 + 9 + 14 + 19 + …….94 + 99 + 104
Answers
Answered by
Reiny
first you have to know how many terms you have
what term is 104
a + (n-1)d = term(n)
4 + (n-1)(5) = 104
5n - 5 = 100
5n = 105
n = 21
now sum(21) = (first + last)(21/2)
=(4+104)(21/2) = 1134
what term is 104
a + (n-1)d = term(n)
4 + (n-1)(5) = 104
5n - 5 = 100
5n = 105
n = 21
now sum(21) = (first + last)(21/2)
=(4+104)(21/2) = 1134
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