Match each series with the equivalent series written in sigma notation

Step-by-step explanation:

Given

See attachment for complete question

Required

Match equivalent expressions

Solving (a):

The expression can be written as:

--- 0

---- 1

--- 2

---- 3

---- 4

For the nth term, the expression is:

---- n

So, the summation is:

Solving (b):

The expression can be written as:

--- 0

---- 1

--- 2

---- 3

---- 4

For the nth term, the expression is:

---- n

So, the summation is:

Solving (c):

The expression can be written as:

--- 0

---- 1

--- 2

---- 3

---- 4

For the nth term, the expression is:

---- n

So, the summation is:

Solving (d):

The expression can be written as:

--- 0

---- 1

--- 2

---- 3

---- 4

For the nth term, the expression is:

---- n

So, the summation is: