Question

HELP! with summation notation. will medal! (see attachment)

Answer 1

please please help with the first one

Answer 2

Do you need to find the sum?

Answer 3

yes @Nixy

Answer 4

The first one is arithmetic so we can do the following

First find the first and last terms by putting n= 1 and n = 50

\( \huge a_1 = 3(1) + 7 = 10\)

10 is your first. Now find the last

\( \huge a_1 = 3(50) + 7 = 157\)

Ok, next part coming. I am doing number 6

Answer 5

Do you still need help?

Answer 6

Now we use the formula

\( \huge S_n = \frac{n}{2}(a_1+a_n) \)
Now just plugin our numbers
\( \huge S_{50} = \frac{50}{2}(10+157) \)

\( \huge S_{50} = 4175\)

Answer 7

is that the answer?? thats how you do it? @Nixy

Answer 8

That is all the steps and the answer is 4175

Answer 9

could you also help with 7? then ill do 8 and 9 by my self @Nixy

Answer 10

@pooja195 please help with 7!!??

Answer 11

Number 7 looks like the Sum of an Infinite Geometric Series

Answer 12

if i do it will you check it?

Answer 13

actually i have number 7 done but I dont understand 8

Answer 14

i dont get how there is no number above the "e"

Answer 15

@Nixy

Answer 16

\( \huge \sum_{n=1}^{12} 2*4^n \)

First you need to rewrite the series so it is in the form of
\( \huge \sum_{n=1}^{12} a_1*r^{n-1} \)

\( \huge \sum_{n=1}^{12} 8*4^{n-1} \)

Now identify a_1 and r ? If |r| < 1 the series is converges and we need to find the sum if not it, there is no need to find the sum


Sorry I am at work and that is why it is taking me a little bit of time.

Answer 17

is this number 8? @Nixy