Question

Can someone please help with summation

Answer 1

write the term of the series and find their sum

Answer 2

replace \(k\) by 1 get \((1+6)^2=49\)
put a plus sign
replace \(k\) by 2, get \((2+6)^2=64\) another plus sign
lather, rinse, repeat until you replace \(k\) by 4, then stop
\(49+64+...\)

Answer 3

so the sum is 49

Answer 4

not at all

Answer 5

the first term of the sum is 49

Answer 6

so 49+64+79+94

Answer 7

How high up do I go

Answer 8

where did the 79 come from?

Answer 9

15 from 64 like the 64 is from 49 wrong idea

Answer 10

it does have four terms, since you have \(k=1\) then \(k=2\) then \(k=3\) then \(k=4\)
oh yeah wrong idea

Answer 11

lol sorry I hate this

Answer 12

that is because it is confusing the first time you see it, but believe me you are just learning how to read
it is really nothing once you know what it says
the sigma is a big fat plus sign, that is all

Answer 13

ok

Answer 14

you start at \(k=1\) and get the first term which is \((1+6)^2=7^2=49\) and then comes a plus sign, so you have \(49+\) so far
now you replace \(k\) by 2 and get \((2+6)^2=8^2=64\)
and another plus, so now you are up to
\[49+64+\]

Answer 15

again you replace \(k\) by 3 and get \((3+6)^2=9^2=81\) giving us
\[49+64+81+\]

Answer 16

then 100

Answer 17

and finally you replace \(k\) by 4 giving \((4+6)^2=10^2=100\) and now we are done because of the 4 on top of the sigma
we get
\[49+64+81+100\] yes you are right it is 100

Answer 18

so its asking for the terms of the series using commas to seperate answers as needed so it would be 46,64,81,100

Answer 19

then do I add all them up for the sum

Answer 20

now you add this mess up
believe me this is not so bad, math gets much harder
it is just a matter of learning how to read it

Answer 21

so the sum is 291

Answer 22

yes, terms are \(49,64,81,100\) and sum is
\[\sum_{k=1}^4(k+6)^2=49+64+81+100\] whatever that is

Answer 23

291

Answer 24

ok i believe you
i can't add

Answer 25

lmao

Answer 26

actually i don't believe you
how can it end in a 1?

Answer 27

294

Answer 28

that is why god invented calculators on the eighth day

Answer 29

ty for the help

Answer 30

yw

Answer 31

lmao