While Flinn was starting the fire, his friends were collecting firewood. Flinn has 5 sticks. If he puts 3 sticks in the fire every minute, and his friends bring 7 sticks every minute, how many minutes will they need to make a pile of 45 sticks next to their fire?
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Time required to make a pile of 45 sticks next to fire =10 minutes.
This is example of A. P
Firdt yerm 5-3+7=9 sticks.
Common difference = 7-3 = 4
So number of sticks next to fire is increasing like this 9,13 17,21...
nth term of AP = a + (n-1) d we need to find n
a+(n-1)d=45
9+(n-1) 4 =45
(n-1) 4 = 36
(n-1)=9
n=10.
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