Mathematics
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snowflake0531:
idk how to simplify these kind of stuffs -.-💀
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mhanifa:
You can find the first term and see what the common difference is
mhanifa:
2i - 12, replace i with its initial value of 7
snowflake0531:
2?
mhanifa:
This will give you the first term of AP
snowflake0531:
what's AP
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mhanifa:
Yes
mhanifa:
The common difference is d = -12
minustempo:
You essentially have an arithmetic sequence
snowflake0531:
@mhanifa wrote:
The common difference is d = -12
how
minustempo:
Yeah no the common difference is 2
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mhanifa:
@snowflake0531 wrote:
@mhanifa wrote:
The common difference is d = -12
how
Sorry its 2 as mentioned above
Florisalreadytaken:
i did show you one like this a while ago did i not?
\[\sum_{n=7}^{16} 2i-12\]
10 different scenarios -- from 7 to 16:
\[ ( 2\times 7-12 ) + ( 2\times 8-12 ) + ( 2\times 9-12 ) + ( 2\times 10-12 ) + ( 2\times 11-12 ) + ( 2\times 12-12 ) + ( 2\times 13-12 ) + ( 2\times 14-12 ) \\ + ( 2\times 15-12 ) + ( 2\times 16-12 ) \]
yeah
snowflake0531:
but why is one i and one n
minustempo:
It's an arithmetic series starting at 7*2-12 = 2
and ending at 16*2-12 = 20
common difference is 2, so 2+4+6...+20
or 2(1+2+3...+10)
a lot easier now
snowflake0531:
110 💀💀💀
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minustempo:
yes exactly
mhanifa:
@snowflake0531 wrote:
but why is one i and one n
n on the bottom to show the number of the i as first term, i = 7, 16 on the top is to show the last term i = 16
snowflake0531:
oh
mhanifa:
Another way to solve is continue where we started.
a1 = 2, d = 2, n = 10, use the formula for the sum of the first n terms
mhanifa:
.. of arithmetic progression
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snowflake0531:
3 ways to do one thing 💀