naomicervero
17.09.2019 •
Mathematics
How do you find the sum of the first 25 terms in a sequence?
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Ответ:
Hey!
Explanation and
Find the difference between 2 points and see if the sequence is proportional. Then just keep adding till you get to the 25th sequence.
Let's say the sequence is 3,5,7,9,11. We subtract 2 points and we get 2. Each number is +3. After adding we get 50 as the 25th term.
Hope This Helped! Good Luck!
Ответ:
Step-by-step explanation:
It's very necessary to find whether the given sequence is arithmetic or geometric.
In Arithmetic sequence every successive term has a common difference and in geometric sequence every successive term shows a common ratio.
Example of Arithmetic sequence:
1, 2, 3, 4, 5......
2 - 1 = 1
3 - 2 = 1
common difference of 1.
Example of geometric sequence:
2, 4, 8, 16..........
Common ratio of 2
Now formula to calculate the sum of initial n terms of Arithmetic sequence
where a = first term
n = number of terms to be added
d = common difference
Formula to calculate the sum of initial n terms of the Geometric sequence
where a = first term of the sequence
n = number of terms to be added
r = common ratio
With help of these formula we can find the sum of first 25 terms of any sequence given.
Ответ:
Step-by-step explanation:
solving for A:
a=150-1.5s
solving for S:
s=100-(2/3)a