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Mathematics 18 Online
snowflake0531:

idk how to simplify these kind of stuffs -.-💀

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

mhanifa:

@snowflake0531 wrote:
2?
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

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 💀💀💀

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

snowflake0531:

3 ways to do one thing 💀

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