Question 737674
A farmer gathers 35 bushels of potatoes on the first day of harvest. The farmer estimates that on each successive day of the harvest, the amount gathered can be 4 bushels more that the preceding day. If the harvest lasts 14 days, what is the total number of bushels harvested?


we have to calculate total harvest for 14 days

first day = 35 = a
next day = 35+4 so d= 4
number of days = 14 =n

sn=n/2{2a+(n-1)d]

plug
Sn = 14/2[2*35+(14-1)*4]

=7(70+52)
=7*122
=854 bushels