First we find the common difference...to do this we subtract the first term from the second term. -7 - (-1) = -7 + 1 = -6
now we are going to find the 10th term
an = a1 + (n-1)*d <== formula for finding any term in arithmetic series
a1 = 1st term, d = common difference, n = term we want to find
now we sub
a10 = -1 + (10 -1) * -6
a10 = -1 + (9 * -6)
a10 = -1 - 54
a10 = - 55
now we will find the sum
Sn = (n (a1+ an)) / 2 <== formula for finding the sum
S10 = (10(-1 - 55))/2
S10 = (10(-56) / 2
S10 = -560/2
S10 = - 280
so the sum of the first 10 numbers is -280
Answer:
15
Step-by-step explanation:
the pattern is like this
start with 1 then add 2 equals 3
start with 3 then add 3 equals 6
so 6 add 4 equals to 10
and the 5th term will be 10 add 5
equals to 15
Answer:
Step by step explanation:
We have been given that measure of angle A is fifty five degrees, the measure of angle B is eighty degrees and the measure of angle C is x.
Since we know that sum of measures of all the three angles of any triangle equals to 180 degrees.
Let us set sum of measures of all angles of our triangle equal to 180 degrees.
Upon substituting our given values in our equation we will get,
Therefore, the measure of angle x equals to 45 degrees.
Answer:
No
Step-by-step explanation:
Janita should not but the table. If the table was 6 feet wide, the widest it can be, the area would be 45 square feet. If the table is 46 7/8 square feet, the width is greater than 6 ft.
