Answer:
The Sum Of The Integers From -6 To 58 is <u>1690.</u>
Step-by-step explanation:
Given,


We have to find out the sum of integers from -6 To 58.
Firstly we will find out the total number of terms that is 'n'.
Here 

Now we use the formula of A.P.

On substituting the values, we get;

So there are 65 terms in between -6 To 58.
That means we have to find the sum of 65 terms in between -6 To 58.
Now we use the formula of Sum of n_terms.

On substituting the values, we get;

Hence The Sum Of The Integers From -6 To 58 is <u>1690.</u>
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number
In this case a=5, and d=-2 so
a(n)=5-2(n-1) which can be simplified...
a(n)=5-2n+2
a(n)=7-2n
The domain is restricted to integers from 1 to +oo.
Answer:
2x+20 + x+40 = 180
Step-by-step explanation:
The angles are supplementary so they add to 180
2x+20 + x+40 = 180
Answer:
x = 4
Step-by-step explanation:
x + 4(x+5) = 40 (Given)
x + 4x + 20 = 40 (Distribute the 4 into the x and 5)
5x + 20 = 40 (Add like terms)
5x = 20 (Subtract 20 on both sides)
x = 4 (Divide 5 on both sides)