SOLUTION: 1.How i find smallest positive number in the A.P 500,493,486,479...... 2.How I find the smallest number of terms of A.P -54,-52.5,-51,-49.5..which musr be taken for the sum of the

Algebra ->  Testmodule -> SOLUTION: 1.How i find smallest positive number in the A.P 500,493,486,479...... 2.How I find the smallest number of terms of A.P -54,-52.5,-51,-49.5..which musr be taken for the sum of the      Log On


   

Question 133619: 1.How i find smallest positive number in the A.P 500,493,486,479......
2.How I find the smallest number of terms of A.P -54,-52.5,-51,-49.5..which musr be taken for the sum of the terms to be positive.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure what A.P means. But for the series in number 1, each successive number is 7 less than the previous number. So, if you divide 500%2F7, you get the number of items in the series that are greater than 0. 500%2F7 = 71. take 71%2A7 and get 497. The last positive term would be 500-%2871%2A7%29 = 3.
Likewise for problem 2, each item in 1.5 greater than the previous item. So 54%2F%281.5%29 = 36. The 36th entry is -54+%2B+%2836%2A1.5%29+ = 0. Since 0 is neither positive or negative, take one more step of 1.5.
Answer is 36+1 = 37 steps