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

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.