First term ,a=4 , common difference =4-7=-3, n =50
sum of first 50terms= (50/2)[2×4+(50-1)(-3)]
=25×[8+49]×-3
=25×57×-3
=25× -171
= -42925
derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an
S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d] → Equation (1)
S=an+an−1+an−2+an−3+...+a1
S=an+(an−d)+(an−2d)+(an−3d)+...+[an−(n−1)d] → Equation (2)
Add Equations (1) and (2)
2S=(a1+an)+(a1+an)+(a1+an)+(a1+an)+...+(a1+an)
2S=n(a1+an)
S=n/2(a1+an)
Substitute an = a1 + (n - 1)d to the above equation, we have
S=n/2{a1+[a1+(n−1)d]}
S=n/2[2a1+(n−1)d]
Answer:
it is 2/3
Step-by-step explanation
i can't explain it to you
Answer:
Hey!
Your answer is C.42.4yd
Step-by-step explanation:
There are 2 ways you can work this on out...
1. Using Pythagoras Theorem...
= 30^2 + 30^2 = 1,800 (30^2=900 so you've added 2 of those to make 1,800)
= SQUARE ROOT THE ANSWER OF 1,800
= 42.42640687119285
TO GET A MORE PRECISE ANSWER WE ROUND IT UP TO 1 decimal place
= 42.4 yd is the diagonal length of the dance floor!!
HOPE THIS HELPS!!
Answer:
4 and 1/2 cups of flour
Step-by-step explanation:
First, you need to divide 2 by 1/3, which will give you 6. Then multiply 6 by 3/4, which gives you 4 1/2. Hope this helped!
Answer:
°
°
°
Step-by-step explanation:
Let the measure of angle C be
°.
Given:
In triangle ΔABC,
is thirteen less than
and
is eleven less than four times
. This gives,


Also, 
Now, for a triangle, the sum of all its interior angles is equal to 180°.
Therefore, 
Plug in all the values and solve for x. This gives,

Therefore, measure of angle C is 34°.
Measure of angle A is,
°.
Measure of angle B is,
°.