Wild geese fly in V-formation. A formation of wild geese has 14 geese in the last row, 13 geese in the second to last row, 12 geese in the next row, and so on. How many geese are there altogether?
Answer (1)
Answer:There are 105 geese in the formation.Step-by-step explanation:There are 14 rows of geese.14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1Arithmetic Sequence Formula (With 1st and last term): [tex]s_{n}= \frac{n}{2}(a_{1}+a_{n})[/tex] [tex]n =14[/tex][tex]a_{1} =14[/tex][tex]a_{14} =1[/tex]Substitute terms in the formula [tex]s_{14}= \frac{14}{2}(14+1)[/tex][tex]s_{14}= 7(15)[/tex][tex]s_{14}= 105[/tex]Therefore, there are 105 geese in the formation.
