What is the expanded form of the series represented below? a. -3 + 2 + 7 + 12 + 17 b. -3 + 3 + 8 + 13 + 18 c. 2 + 7 + 12 + 17 + 22 d. 5 + 2 + (-1) + (-4) + (-7)

See below

Step.-by-step explanation:

Choice A  has first term  -3 and common difference 5. The formula for the kth term is -3 + (k - 1)5. It is an arithmetic series.

The required expanded form for the Sum is:

         5

S5 =  ∑  [-3 + (k - )5)]

       k = 1

Expanded form of the series is:

A. -3 + 2 + 7 + 12 + 17

Step-by-step explanation:

when k=1     -3+(k-1)5= -3

when k=2     -3+(k-1)5= -3+5=2

when k=3     -3+(k-1)5= -3+10=7

when k=4     -3+(k-1)5= -3+15=12

when k=5     -3+(k-1)5= -3+20=17

Hence, value of

Hence, expanded form of the series is:

A. -3 + 2 + 7 + 12 + 17

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