We know that
a(n)=4n+1
To find the sum of the first n<span> terms of an arithmetic series
use the formula
</span><span><span>Sn</span>=<span>n(<span>a1</span> + <span>an</span>)/2
</span></span>a1--------------> is the first term
an--------------> is the last term
n--------------- > <span>is the number of terms
</span>we have that
a1------------> 4*(1)+1=5
a30----------> 4*(30)+1=121
n------------- > 30
S30=30*(5 + 121)/2=1890
the answer is 1890
Answer:
33°
Step-by-step explanation:
Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.
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Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:
∠UXW = 90° -57° = 33°
Answer:
9x^2 + 9x -70
Step-by-step explanation:
Use the distributive property to solve
(3x-7) (3x+10)
multiply 3x x 3x = 9x^2
multiply 3x(-7) and 3x(10)
add -21x + 30x = 9x
multiply -7 x 10 = -70
Answer: The numbers are -3 and 2
Step-by-step explanation: Let x be the first number and y be the second number
then according to given statements the linear equations will be:
"Four times a number minus twice another number is -16"
"The sum of the two numbers is -1"
From equation 2:
Putting y = -x-1 in equation 1
Subtracting 2 from both sides
Dividing both sides by 6
Putting x = -3 in equation 2:
Hence,
The numbers are -3 and 2
