Askier has decided that on each trip down a slope, she will do 3 more jumps than before. on her first trip she did 5 jumps. derive the sigma notation that shows how many total jumps she attempts from her third trip down the hill through her tenth trip. then solve for the number of total jumps from her third to tenth trips.

172

Explanation:

The no of jumps makes an A.P series whose first term a is 11 and commom difference d is 3.

Any n the term = a + ( n-1 ) d

first term = a

second term a + d

third term a + 2d

n-1 the term = a + (n-2)d

n th term = a + (n-1) d

∑ ( sum of n ) = a + (a +d ) + ( a + 2d ) + [a +(n-2)d ]+[a+(n-1)d]

∑ =                   =[a+(n-1)d] +[a +(n-2)d ]+ (a + d) + a

the second series have been written by reversing the term of series

Adding the two series , we get

2∑ = [2a+(n-1)d] +[2a+(n-1)d] +          [2a+(n-1)d] + [2a+(n-1)d]

∑ =  1/2x n[2a+(n-1)d]

Here n = 8 , a = 11 , d = 3

∑ = 1/2 x 8 x ( 22 + 21)

= .5 x 8 x 43 = 172

e/c, where e is its total energy

the journeys of marquette, joliet and la salle a) new france expand.

all three of these explorers explored the midwest and the area around the great lakes, which they subsequently claimed for france.

this was a big portion of territory and expanded new france which before then only consisted of quebec province in northeastern canada