Time sensitive question. Find the sum of the first 26 terms of an arithmetic series whose first term is 7 and 26th term is 93.
1 answer:
ANSWER
![S_{26}=1300](https://tex.z-dn.net/?f=S_%7B26%7D%3D1300)
EXPLANATION
The sum of an arithmetic sequence whose first term and last terms are known is calculated using
![S_{n}= \frac{n}{2} (a + l)](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%20%5Cfrac%7Bn%7D%7B2%7D%20%28a%20%2B%20l%29)
From the given information, the first term of the series is
![a = 7](https://tex.z-dn.net/?f=a%20%3D%207)
and the last term of the series is
![l = 93](https://tex.z-dn.net/?f=l%20%3D%2093)
The sum of the first 26 terms is
![S_{26}= \frac{26}{2} (7 + 93)](https://tex.z-dn.net/?f=S_%7B26%7D%3D%20%5Cfrac%7B26%7D%7B2%7D%20%287%20%2B%2093%29)
![S_{26}= 13 (100)](https://tex.z-dn.net/?f=S_%7B26%7D%3D%2013%20%28100%29)
![S_{26}=1300](https://tex.z-dn.net/?f=S_%7B26%7D%3D1300)
You might be interested in
It would be 115,000. You round down since 16 is closer to 115,000 than 116,000.
X=9 .....................................
Answer:
re write it i dont get it
Step-by-step explanation:
Adult : Children = 5 parts : 2 parts
Total parts = 5+2 = 7 parts
1 part of people in the zoo = 105/7 = 15 people
Number of children in the zoo = 15×2 = 30 chidren