Question

Evaluate each series. 50 points and brainless!

Answer 1

Answer:

Sum of n terms of a GP:

• Sₙ = a₁(rⁿ - 1)/(r - 1)

#1

• a₁ = 5
• r = 2
• n = 9
• S₉ = 5(2⁹ - 1)/(2 - 1) = 5(511) = 2555

Correct choice is C

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#2

• a₁ = 12
• r = 1/2
• n = 5
• S₅ = 12(1 - (1/2)⁵)/(1 - 1/2) = 12(31/32)/(1/2) = 23.25

Correct choice is A