Question

How is the sum expressed in sigma notation? 11 + 17 + 23 + 29 + 35 + 41

Answer 1

Answer:

The given sums 11+17+23+29+35+41  can be written as in sigma notation is  $\sum\limits_{i=1}^{6}5+6i$

Therefore 11+17+23+29+35+41=$\sum\limits_{i=1}^{6}5+6i$

Step-by-step explanation:

Given series is 11+17+23+29+35+41

To find the given sum expressed in sigma notation :

11+17+23+29+35+41  can be written as the given sums in sigma notation is  $\sum\limits_{i=1}^{6}5+6i$

That is

11+17+23+29+35+41=$\sum\limits_{i=1}^{6}5+6i$

Now expand the sums and to verify that whether the summation is true or not :

$\sum\limits_{i=1}^{6}5+6i=(5+6(1))+(5+6(2))+(5+6(3))+(5+6(4))+(5+6(5))+(5+6(6))$

$=(5+6)+(5+12)+(5+18)+(5+24)+(5+30)+(5+36)$

$=11+17+23+29+35+41$

Therefore 11+17+23+29+35+41=$\sum\limits_{i=1}^{6}5+6i$