Question

Express the series below in summation notation for the specified number of terms.
6. 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

Answer 1

@SolomonZelman how would we solve this

Answer 2

well the number of terms would be 10. to obtain each next term you go +1

\[\huge\color{blue}{ \sum_{j=~}^{10}~ (~~~~~~) } \]

Can you take a shoot please?

Answer 3

\[\sum_{j=1}^{10} (0+J)\]

Answer 4

correct

Answer 5

Yeah, I was thinking

\[\huge\color{blue}{ \sum_{n=1}^{10} A_n} \]

Answer 6

oh

Answer 7

why would it be \[_{An}\]

Answer 8

n or j, whatever the variable is....

n=0
a of 0 = 0

n=1
a of 1 = 1

n=2
a of 2 = 2

n=n
a of n = n

That's the pattern.

Answer 9

but would we only write An

Answer 10

for the equation

Answer 11

A of nth term. A of nth term

we are saying here
that the number of term (like 2nd term) would equal the value of the term (like 2)

Answer 12

I am not good at explaining, sorry -:(

Answer 13

Sorry, it's n=0 (on the bottom of the notation, b./c it goes from zero, not from 1)

Answer 14

but the answer is \[\sum_{n=1}^{10} _{}An\]

Answer 15

n=0 on the bottom.

Answer 16

we are starting from 0

Answer 17

the equation would be like this \[\sum_{n=0}^{10}_{?}An\]

Answer 18

Yeah, I think so ;)

Answer 19

\[\sum_{n=0}^{10}_{}An\]