Question

Hey there help thanks MATH LOVERS

Answer 1

I think it's the

1st one =1st

2nd one =2nd

3rd one = 4th

4th one = 3

Explanation:

Answer 2

Least to greatest: Left, 2nd from Left, Right, Second from Right.

Least to greatest numerically: 31,80,121,127

Explanation:

All of these can either be done manually or by using the geometric series formula. I'll do a couple each way.

Left: Manual

3(1 + 2 + 4 + 8 + 16) = 3*31 = 93

Sample Calculation

• Three is a common factor; there is no point in calculating it for every term.
• Pull it out as a common factor.
• For i = 4
• 2^(4 - 1) = 2^3 = 8 which is what the series shows.

Second from the Left Manual

2(1 + 3 + 9 + 27) = 2 (40) = 80

Sample Calculation

• Two is a common factor; there is no point in calculating it every time.
• Pull it out as a common factor
• For i = 4
• 3^(4 - 1) = 3^3 = 27 which is what the series shows.

Second from the Right

Givens

• a1 = 1 [See sample above]
• n = 7
• r = 2

Formula

Sum = a(1 - r^n)/(1 - r)

Solution

• Sum = 1(1 - 2^7)/(1 - 2)
• Sum = 1(1 - 128)/(-1)
• Sum = 1*(-127)/-1
• Sum = 127

Right hand Side

Givens

• a = 1
• n = 5
• r = 3

Formula

Sum = a(1 - r^n)/(1 - r)

Solution

• Sum = 1(1 - 3^5)/(1 - 3)
• Sum = 1(1 - 243)/-2
• Sum = (-242)/-2
• Sum = 121