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Mathematics 19 Online
OpenStudy (anonymous):

rewrite in expanded form

OpenStudy (anonymous):

\[\sum_{m=1}^{5} (2m^2+3)\]

OpenStudy (anonymous):

thats the answer though

OpenStudy (asnaseer):

you need to sum each term for m=1, then m=2, then m=3, ... up to m=5

OpenStudy (asnaseer):

so, for example, the first term would be for m=1, giving:\[2(1)^2+3=2+3=5\]

OpenStudy (asnaseer):

samm2121: do you understand?

OpenStudy (anonymous):

when i write my answer i write it like this (2m+3)+(2m^+3)+(2m^3+3)+(2m^4+3)+(2m^5+3)

OpenStudy (asnaseer):

each term of the sum is of the form \((2m^2+3)\)

OpenStudy (asnaseer):

and m goes from 1 to 5

OpenStudy (anonymous):

asnaseer would you mind giving me the answer please

OpenStudy (campbell_st):

follow asnaseer's solution... I just realised my mistake

OpenStudy (asnaseer):

I can give you a hint instead. the first two terms would be:\[(2(1)^2+3) + (2(2)^2+3)\]

OpenStudy (asnaseer):

repeat this pattern for all 5 terms

OpenStudy (anonymous):

okay would this be the answer 7+16+21+35+53 ?

OpenStudy (asnaseer):

how do you get 7 for the first term? if you look further up I worked out the first term for you as follows:\[2(1)^2+3=2+3=5\]

OpenStudy (anonymous):

sorry i dont get it

OpenStudy (asnaseer):

what part don't you get?

OpenStudy (anonymous):

sorry i just dont get how its not 7 i added and did as the formula follows

OpenStudy (asnaseer):

ok, lets take a look at the first term in detail:\[2(1)^2+3=2+3=5\]do you agree that \((1)^2=1\)?

OpenStudy (campbell_st):

\[2\times 1^2 + 3 = 5\]

OpenStudy (anonymous):

yes

OpenStudy (asnaseer):

so then we have:\[2(1)^2+3=2*1+3=2+3=5\]

OpenStudy (asnaseer):

does that make sense now?

OpenStudy (asnaseer):

remember that:\[a(b)=a\times b\]

OpenStudy (anonymous):

ok thanks

OpenStudy (asnaseer):

yw

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