HELP ! What is the sum of the first n terms of this series?
4 + 6 + 8 + 10 + 12 + ⋯
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OpenStudy (anonymous):
answer is 8
OpenStudy (shamim):
common difference d=?
OpenStudy (anonymous):
no its not @jot
OpenStudy (anonymous):
why
OpenStudy (anonymous):
\[\Sigma \ its and answer whith this
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OpenStudy (anonymous):
\[\Sigma \]
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
@iGreen
@Kemist
@ParthKohli helppp
OpenStudy (anonymous):
see??
OpenStudy (anonymous):
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OpenStudy (anonymous):
OpenStudy (anonymous):
OpenStudy (anonymous):
OpenStudy (anonymous):
@iGreen do u know this?
OpenStudy (igreen):
No, sorry..
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OpenStudy (anonymous):
;'O
OpenStudy (anonymous):
@ParthKohli
do you know?
OpenStudy (tkhunny):
4 + 6 + 8 + 10 + 12 + ⋯
2*(2 + 3 + 4 + 5 + 6 + ⋯)
The odd fact you should memorize is this, 1 + 2 + 3 + ... + n = \(\dfrac{n(n+1)}{2}\)
Check out inside those parentheses. Do you see a relationship?
OpenStudy (anonymous):
not really 0.0 :'0
OpenStudy (tkhunny):
1 + 2 + 3 + 4 + ... + n -- n terms starting with 1. Sum is \(\dfrac{n(n+1)}{2}\)
2 + 3 + 4 + ... + n + (n+1) -- n terms starting with 2. Sum is \(\dfrac{(n+1)(n+2)}{2} - 1\)
Final answer is what?
4 + 6 + 8 + 10 + 12 + ⋯
2*(2 + 3 + 4 + 5 + 6 + ⋯)
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