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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)

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 class=

Respuesta :

Answer:

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

Answer:

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 [tex]S_{5}= -3+2+7+12+17[/tex]

Hence, expanded form of the series is:

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