Question

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)

Answer 1

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 2

Expanded form of the series is:

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

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
`S_(5)= -3+2+7+12+17`

Hence, expanded form of the series is:

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