Answer:6018
Step-by-step explanation:
Given Sequence
It represent an A.P. with
first term 
common difference 
So sum of 51 term
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
![S_{51}=\frac{51}{2}\times [2\times (-282)+(51-1)16]](https://tex.z-dn.net/?f=S_%7B51%7D%3D%5Cfrac%7B51%7D%7B2%7D%5Ctimes%20%5B2%5Ctimes%20%28-282%29%2B%2851-1%2916%5D)
![S_{51}=\frac{51}{2}\times [-564+800]](https://tex.z-dn.net/?f=S_%7B51%7D%3D%5Cfrac%7B51%7D%7B2%7D%5Ctimes%20%5B-564%2B800%5D)
![S_{51}=\frac{51}{2}\times [236]](https://tex.z-dn.net/?f=S_%7B51%7D%3D%5Cfrac%7B51%7D%7B2%7D%5Ctimes%20%5B236%5D)
<span>A, 13/52 of the cards are hearts, + three more kings (king of hearts has already gone) = 16/52. divide 16 and 52 by 4 = 4/13.</span>
Answer:
10x2thousands=20thousands=20000
2(2t + 4) = 34(24 − 8t)
4t + 8 = 816 - 272t
4t + 272t = 816 - 8
276t = 808
t = 808/276
= 2.93 (to three significant figures)
The value of t is 2.93.
The equation in the form (x + a)² = b is (x + 2)² = 16
<h3>How to determine the intermediate step?</h3>
The equation is given as:
x² + 4x = 12
Take the coefficient of x
k = 4
Divide by 2
k/2 = 2
Square both sides
(k/2)² = 4
Add this result to both sides of x² + 4x = 12
x² + 4x + 4 = 12 + 4
Evaluate the sum
x² + 4x + 4 = 16
Express as a perfect square
(x + 2)² = 16
Hence, the equation in the form (x + a)² = b is (x + 2)² = 16
Read more about completing the square at:
brainly.com/question/10449635
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