SOLUTION: A farmer gathers 35 bushels of potatoes on the first day of the harvest. The farmer estimates that on each successive day of the harvest, the amount gathered can be 4 bushels more
Algebra ->
Expressions-with-variables
-> SOLUTION: A farmer gathers 35 bushels of potatoes on the first day of the harvest. The farmer estimates that on each successive day of the harvest, the amount gathered can be 4 bushels more
Log On
Question 1140668: A farmer gathers 35 bushels of potatoes on the first day of the harvest. The farmer estimates that on each successive day of the harvest, the amount gathered can be 4 bushels more than the preceding day. If the harvest lasts fourteen days, what is the total number of bushels harvested? Answer by ikleyn(52781) (Show Source):
It is arithmetic progression.
The first term is = 35.
The last, 14-th term is = 35 + 4*(14-1) = 87.
The number of bushels under the question is the sum of the 14 terms of this progression.
It is equal half the sum = = 61, multiplied by the number of terms, i.e. 14:
sum = 61*14 = 854. ANSWER
