#Arithmetic sequences

33 messages · Page 1 of 1 (latest)

misty thorn
deft juniperBOT
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safe ledge
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are these sums of arithmetic sequences or just arithmetic sequences @misty thorn

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because if they are solely arithmetic sequences, you need to find the common difference

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$d=a_{n+1}-a_{n}$ such that $a_n$ is the nth term in an arithmetic sequence

raven crestBOT
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saddayyy_

safe ledge
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then you can use this formula to derive your arithmetic sequence

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$a_n=a_1+(n-1)d$

raven crestBOT
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saddayyy_

safe ledge
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ok

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so find the common difference

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$S_2-S_1=d$

raven crestBOT
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saddayyy_

safe ledge
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what is the common difference

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@misty thorn

misty thorn
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how would i write Sn in terms of n

dusty hawk
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that’s your hint

misty thorn
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?

dusty hawk
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a_1 can be written as a+(1-1)d

misty thorn
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So this formula

dusty hawk
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oh

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sun formula

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oops

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sorry

dusty hawk
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using what the other helper told you

misty thorn
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u1 is 10 and d is 5

dusty hawk
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nice, now just substitute them in and simplify

vast thistleBOT
misty thorn
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+close