Answer:
5
Step-by-step explanation:
The 6th term of an arithmetic progression is 35 and the 13th term is 77. find the 1st term
We know we have an arithmetic sequence.
a_n = (n - 1)*d + a_1
given:
a_6 = 35 = (6-1)*d + a_1
a_13 = (13 -1)*d + a_1 = 77
find a_1
we have 35 = 5d + a_1
and 77 = 12d + a_1
2 equations in 2 unknowns.
We can solve this.
77 = 12d + a_1
35 = 5d + a_1
minus the 2 equations from each other.
77 - 35 = 12d - 5d + a_1 - a_1
42 = 7d
d = 6
Find a_1
35 = 5*6 + a_1
35 = 30 + a_1
a_1 = 35 -30 = 5
a_1 = 5
Answer:
2.125
Step-by-step explanation:
Answer:
You are now 38 m below base camp.
Step-by-step explanation:
Consider the provided information.
You start hiking at an elevation that is 80 meters below base camp.
Now your initial location is 80 m below base camp, that can be represents as: -80
Now you increase your elevation by 42.
So you go up by 42.
In other words, you get the equation -80+42 = -38.
Since a negative value is below the base camp, this means that you are now 38 m below base camp.
